Modeling the two-dimensional accuracy of soccer kicks

In many sports, athletes perform motor tasks that simultaneously require both speed and accuracy for success, such as kicking a ball. Because of the biomechanical trade-off between speed and accuracy, athletes must balance these competing demands. Modelling the optimal compromise between speed and accuracy requires one to quantify how task speed affects the dispersion around a target, a level of experimental detail not previously addressed. Using soccer penalties as a system, we measured two-dimensional kicking error over a range of speeds, target heights, and kicking techniques. Twenty experienced soccer players executed a total of 8466 kicks at two targets (high and low). Players kicked with the side of their foot or the instep at ball speeds ranging from 40% to 100% of their maximum. The inaccuracy of kicks was measured in horizontal and vertical dimensions. For both horizontal and vertical inaccuracy, variance increased as a power function of speed, whose parameter values depended on the combination of kicking technique and target height. Kicking precision was greater when aiming at a low target compared to a high target. Side-foot kicks were more accurate than instep kicks. The centre of the dispersion of shots shifted as a function of speed. An analysis of the covariance between horizontal and vertical error revealed right-footed kickers tended to miss below and to the left of the target or above and to the right, while left-footed kickers tended along the reflected axis. Our analysis provides relationships needed to model the optimal strategy for penalty kickers.     

Theoretical study of factors affecting ball velocity in instep soccer kicking

The objective of this study was to investigate the factors affecting ball velocity at the final instant of the impact phase (t1) in full instep soccer kicking. Five experienced male university soccer players performed maximal full instep kicks for various foot impact points using a one-step approach. The kicking motions were captured two dimensionally by a high-speed camera at 2,500 fps. The theoretical equation of the ball velocity at t1 given in the article was derived based on the impact dynamics theory. The validity of the theoretical equation was verified by comparing the theoretical relationship between the impact point and the ball velocity with the experimental one. Using this theoretical equation, the relationship between the impact point and the ball velocity was simulated. The simulation results indicated that the ball velocity is more strongly affected by the foot velocity at the initial instant of the impact phase than by other factors. The simulation results also indicated that decreasing the ankle joint reaction force during ball impact shifts the impact point that produces the greatest ball velocity to the toe side and decreasing the ankle joint torque during ball impact shifts the impact point that produces the greatest ball velocity to the ankle side.     

Control for small-speed lateral flight in a model insect

Controls required for small-speed lateral flight of a model insect were studied using techniques based on the linear theories of stability and control (the stability and control derivatives were computed by the method of computational fluid dynamics). The main results are as follows. (1) Two steady-state lateral motions can exist: one is a horizontal side translation with the body rolling to the same side of the translation by a small angle, and the other is a constant-rate yaw rotation (rotation about the vertical axis). (2) The side translation requires an anti-symmetrical change in the stroke amplitudes of the contralateral wings, and/or an anti-symmetrical change in the angles of attack of the contralateral wings, with the down- and upstroke angles of attack of a wing having equal change. The constant-rate yaw rotation requires an anti-symmetrical change in the angles of attack of the contralateral wings, with the down- and upstroke angles of attack of a wing having differential change. (3) For the control of the horizontal side translation, control input required for the steady-state motion has an opposite sign to that needed for initiating the motion. For example, to have a steady-state left side-translation, the insect needs to increase the stroke amplitude of the left wing and decrease that of the right wing to maintain the steady-state flight, but it needs an opposite change in stroke amplitude (decreasing the stroke amplitude of the left wing and increasing that of the right wing) to enter the flight.     

Numerical study of ball behavior in side-foot soccer kick based on impact dynamic theory

This study examined the factors affecting the ball velocity and rotation for side-foot soccer kick using a numerical investigation. Five experienced male university soccer players performed side-foot kicks with various attack angles and impact points using a one-step approach. The kicking motions were captured three-dimensionally by two high-speed cameras at 2500 fps. The theoretical equations of the ball velocity and rotation were derived based on impact dynamic theory. Using the theoretical equations, the relationships of the ball velocity and rotation to the attack angle and impact point were obtained. The validity of the theoretical equations was verified by comparing the theoretical relationships with measurement values. Furthermore, simulations of the ball velocity and rotation were conducted using the theoretical equations. The theoretical relationships were in good agreement with the measurement values. The theoretical results confirmed the previously reported experimental results, and indicated that the impact point is more influential on the ball velocity than the attack angle and the attack angle is more influential on the ball rotation than the impact point. The simulation results indicated the following. The ball velocity produced by impact for all impact patterns is largely affected by the foot velocity immediately before impact but barely affected by the degree of slip between the foot and the ball. The ball rotation produced by an impact with a large attack angle is affected by the foot velocity immediately before impact and the degree of slip between the foot and the ball; however, these factors affect the ball rotation less than the attack angle.     

Mechanisms that influence accuracy of the soccer kick

Goal scoring represents the ultimate purpose of soccer and this is achieved when players perform accurate kicks. The purpose of the present study was to compare accurate and inaccurate soccer kicks aiming to top and bottom targets. Twenty-one soccer players performed consecutive kicks against top and bottom targets (0.5 m²) placed in the center of the goal. The kicking trials were categorized as accurate or inaccurate. The activation of tibialis anterior (TA), rectus femoris (RF), biceps femoris (BF) and gastrocnemius muscle (GAS) of the swinging leg and the ground reaction forces (GRFs) of the support leg were analyzed. The GRFs did not differ between kicking conditions (P > 0.05). There was significantly higher TA and BF and lower GAS EMG activity during accurate kicks to the top target (P < 0.05) compared with inaccurate kicks. Furthermore, there was a significantly lower TA and RF activation during accurate kicks against the bottom target (P < 0.05) compared with inaccurate kicks. Enhancing muscle activation of the TA and BF and reducing GAS activation may assist players to kick accurately against top targets. In contrast, players who display higher TA and RF activation may be less accurate against a bottom target. It was concluded that muscle activation of the kicking leg represents a significant mechanism which largely contributes to soccer kick accuracy.     

Control of the horizontal flight-course by air-current sense organs in Locusta migratoria

ABSTRACT. The role of the air-current sense organs of Locusta migratoria (the antennae and the hair fields on the frons and vertex of the head) in control of the horizontal flight-course in relation to the air was investigated in locusts flying tethered on a torque gauge. The antennae were apparently not of importance in the control of flight direction in the horizontal plane. If the hair fields were stimulated by an air current from either side, however, a torque on the vertical body axis was generated by the beating wings after a reaction time of at least 0.1 s. In free flight this would result in a yaw, bringing the animal back in line with the air stream. This torque reaction will stabilize the flight direction in the horizontal plane via a negative feedback mechanism, the hair fields above the lateral ocelli being the feedback receptors. In free flying locusts a torque on the vertical body axis can be generated by both the beating wings and the abdomen working as a rudder when bent to either side. The wings, however, are dominant in the reflex stabilization of the flight-course.     

Bau und Bewegung der Antennen von Calliphora erythrocephala

Summary The anatomy of the four antennal joints of Calliphora erythrocephala and their significance in the total movement of the antenna were investigated. Both the head-scapus joint (1) and the funiculus-arista joint (4) are virtually rigid and do not participate in the active movements of the antenna. The pedicellus can be moved actively about two axes in the scapus-pedicellus joint (2), a horizontal and a vertical one. Prior to flight the antenna is raised into flight position by rotating the pedicellus about the horizontal axis of the scapus-pedicellus joint (2). During flight drag from frontal air currents on the arista rotates the funiculus with respect to the pedicellus about the longitudinal axis common to the funiculus and the pedicellus-funiculus joint (3). This passive movement of the funiculus is probably perceived by receptors in the pedicellus: the organ of Johnston and a large sensillum campaniforme. Also during flight the pedicellus is rotated actively about the vertical (second) axis of the scapus-pedicellus joint (2). This active movement is opposite to the passive rotation of the funiculus and thus changes the angle of attack for the air currents acting on the arista.

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Mit Unterstützung der Deutschen Forschungsgemeinschaft.     

Tracking and chasing in houseflies (Musca)

The flight trajectories of free flying female and male houseflies have been analyzed in 3 dimensions. Both female and male flies track other flies. The turning velocity α (around the vertical axis) is linearly dependent upon the horizontal angle ψ_F (that is the angle between the trajectory of the tracking fly and the target) for small values of ψ_F in females and for the whole range of ψ_F in males. The 3-dimensional velocity υ _xyz of the chasing fly is linearly dependent upon the distance between leading and chasing fly in males but not in females. Male chasing thus appears to be more efficient than female tracking. It is shown that earlier assumptions on visual control of flight in female flies derived from experiments on fixed flying flies are justified.     

Analysis of the Movement Track of Top Spinning Ball and Biomechanics in the Process of Hitting Tennis Ball

The aim of this study is to analyze the movement track of top spinning tennis ball and the biomechanics characteristics of tennis players. This study took ten tennis players as an example. The hitting process of the top spinning ball was captured by two PULNIX high-speed cameras. The images were processed by APAS motion analysis system. The results showed that the top spinning ball moved forward while rotating in the hitting process and showed a large attack force after rebounding from the land. In biomechanics, A and B had larger angles of upper limb joints and larger joint speed. The center of gravity was on the right. The knee joint flexed, obtained the reactive force through pedaling and stretching, and transferred the power to the racket. At the moment of hitting, the racket head speed of A and B was the largest, 18.3 m/s and 18.5 m/s, respectively. At the end of the follow-through, the shoulder and elbow angle angles of A and B were small. Larger power was provided to the racket by the rapid internal rotation. The power of hitting the ball should be increased to improve the hitting effect and speed. Corresponding guidance can be provided to players to improve their technical level.     

Flight mechanics of a tailless articulated wing aircraft

This paper investigates the flight mechanics of a micro aerial vehicle without a vertical tail in an effort to reverse-engineer the agility of avian flight. The key to stability and control of such a tailless aircraft lies in the ability to control the incidence angles and dihedral angles of both wings independently. The dihedral angles can be varied symmetrically on both wings to control aircraft speed independently of the angle of attack and flight path angle, while asymmetric dihedral can be used to control yaw in the absence of a vertical stabilizer. It is shown that wing dihedral angles alone can effectively regulate sideslip during rapid turns and generate a wide range of equilibrium turn rates while maintaining a constant flight speed and regulating sideslip. Numerical continuation and bifurcation analysis are used to compute trim states and assess their stability. This paper lays the foundation for design and stability analysis of a flapping wing aircraft that can switch rapidly from flapping to gliding flight for agile manoeuvring in a constrained environment.     

Motion Features of Legs in Volleyball Block Jump Based on Biomechanical Analysis

Blocking technology is one of the most important means to obtain score in volleyball, which has a great influence on the victory of the game. In this study, the vertical jump was analyzed to understand the movement characteristics of legs during training time. The kinematics and dynamics data of the legs of 10 volleyball players after training for 0 h, 0.5 h, 1 h and 2 h were studied by using an infrared light point motion capture system and force measuring platform. The results showed that the joint angles of the players who had 1 h and 2 h of training in the buffering and pedaling and stretching stages decreased markedly compared with those who had 0 h of training. The peak angular velocity and impulse of hip and knee joints after 1 h and 2 h of training decreased in the pedaling and stretching stage. In the flight stage, the time of flight and the height of center of gravity showed a downward trend, while the time of landing and the angle of the knee joint decreased. After 1 h and 2 h of training, at the moment of double-foot landing, the flexion and extension angle of the knee joint increased, and the angular velocity of the knee joint and ankle joint decreased markedly. The length of training time has a great impact on the joints of legs, including increasing joint pressure and the risk of injuries.     

Visual Search Strategies of Soccer Players Executing a Power vs. Placement Penalty Kick

Introduction

When taking a soccer penalty kick, there are two distinct kicking techniques that can be adopted; a ‘power’ penalty or a ‘placement’ penalty. The current study investigated how the type of penalty kick being taken affected the kicker’s visual search strategy and where the ball hit the goal (end ball location).

Method

Wearing a portable eye tracker, 12 university footballers executed 2 power and placement penalty kicks, indoors, both with and without the presence of a goalkeeper. Video cameras were used to determine initial ball velocity and end ball location.

Results

When taking the power penalty, the football was kicked significantly harder and more centrally in the goal compared to the placement penalty. During the power penalty, players fixated on the football for longer and more often at the goalkeeper (and by implication the middle of the goal), whereas in the placement penalty, fixated longer at the goal, specifically the edges. Findings remained consistent irrespective of goalkeeper presence.

Discussion/conclusion

Findings indicate differences in visual search strategy and end ball location as a function of type of penalty kick. When taking the placement penalty, players fixated and kicked the football to the edges of the goal in an attempt to direct the ball to an area that the goalkeeper would have difficulty reaching and saving. Fixating significantly longer on the football when taking the power compared to placement penalty indicates a greater importance of obtaining visual information from the football. This can be attributed to ensuring accurate foot-to-ball contact and subsequent generation of ball velocity. Aligning gaze and kicking the football centrally in the goal when executing the power compared to placement penalty may have been a strategy to reduce the risk of kicking wide of the goal altogether.     

On the mechanism of speed and altitude control in Drosophila melanogaster

ABSTRACT The total power output of tethered flying Drosophila melanogaster in still air depends on translational velocity components of image flow on the eye, whereas the orientation of the average flight force in the midsagittal plane of the fly is widely independent of visual input (Götz, 1968). The fly does not seem to control the vertical and the horizontal force component independently. Freely flying flies nevertheless generate different ratios between lift and thrust, simply by changing the inclination of their body. By the combined adjustment of the body angle and the total power output a fly appears to be able to stabilize height and speed (David, 1985). Here a possible mechanism is proposed by which the appropriate torque about the transverse body axis could be generated. Translational pattern motion influences the posture of the abdomen and the plane of wing oscillation. Thus the position of the centre of gravity relative to the flight force vector is changed. When abdomen and stroke plane deviate from an equilibrium state, a lever is generated by which the force vector will rotate the fly about its transverse axis.     

A three-dimensional analysis of overarm throwing in experienced handball players

The aim of this study was to investigate the contribution of upper extremity, trunk, and lower extremity movements in overarm throwing in team handball. In total, 11 joint movements during the throw were analyzed. The analysis consists of maximal angles, angles at ball release, and maximal angular velocities of the joint movements and their timing during the throw. Only the elbow angle (extension movement range) and the level of internal rotation velocity of the shoulder at ball release showed a significant relationship with the throwing performance. Also, a significant correlation was found for the timing of the maximal pelvis angle with ball velocity, indicating that better throwers started to rotate their pelvis forward earlier during the throw. No other significant correlations were found, indicating that the role of the trunk and lower limb are of minor importance for team handball players.     

Visual discrimination by the honeybee (Apis mellifera): the position of the common centre as the cue

Abstract. Bees can be trained to discriminate between a target with a 20° spot above a 10° spot of the same colour, and another target with the spots exchanged in position. Tests show that they do not remember the separate positions of spots of the same colour (including black) on the same target. The bees discriminate the difference in positions, in the vertical direction, of the common centres of the spots taken together, with or without green contrast.
Similar results are obtained in discriminations of a fixed T shape, each composed of two broad black bars subtending 8 by 24°, vs the same shape inverted. The trained bees fail to discriminate between the T shapes when the centroids are at the same level in the vertical direction. Moving the shapes in the horizontal direction in tests has less effect. Quite different results are obtained when the two bars of the T shape differ in colour. The bees discriminate the positions of the two colours separately, but they still fail to discriminate the shape of the T. The results can be explained by filters that detect the intensities within their fields, irrespective of shape, and weigh them according to their vertical angles from the horizontal midline. The normal function of these filters could be to detect the levels of objects relative to the horizon when the bee is in flight.     

Head posture in the Hominoidea

The angle between the antero-posterior plane of the occipital condyles and a vertical axis at right angles to the Frankfort Horizontal was measured in Homo sapiens, Gorilla, Pan, Pongo and casts of two Neanderthal skulls, the Rhodesian skull and three australopithecine skulls. The angle was much greater in adult Homo sapiens and in the Neanderthal and australopithecine casts than in the adult groups of the three apes. In the immature groups, the angle underwent little change with age in Homo sapiens but in Gorilla and Pan the angle decreased markedly during the growth period. These findings can be readily correlated with the habitual bodily posture of each of the extant genera. In Homo sapiens , an upright posture is adopted early in life while in the African apes the young tend to move by brachiation and thus have an habitual posture of the spine closer to the vertical than in the "knuckle walking" adults. The large value of the angle in the Neanderthal casts also correlates well with the now widely held view that this group has a fully upright posture. However, the finding of a relatively low value for the angle in adult Pongo —a brachiator—runs counter to the general thesis that the angle is a direct reflection of overall posture and casts some doubt upon a conclusion that the large value of the angle in the australopithecine fossils necessarily indicates that these creatures stood upright.     

Gliding flight in Chrysopelea: turning a snake into a wing

Although many cylindrical animals swim through water, flying snakes of the genus Chrysopelea are the only limbless animals that glide through air. Despite a lack of limbs, these snakes can actively launch by jumping, maintain a stable glide path without obvious control surfaces, maneuver, and safely land without injury. Jumping takeoffs employ vertically looped kinematics that seem to be different than any other behavior in limbless vertebrates, and their presence in a closely related genus suggests that gap-crossing may have been a behavioral precursor to the evolution of gliding in snakes. Change in shape of the body by dorsoventral flattening and high-amplitude aerial undulation comprise two key features of snakes' gliding behavior. As the snake becomes airborne, the body flattens sequentially from head to vent, forming a cross-sectional shape that is roughly triangular, with a flat surface and lateral "lips" that protrude ventrally on each side of the body; these may diminish toward the vent. This shape likely provides the snake with lift coefficients that peak at high angles of attack and gentle stall characteristics. A glide trajectory is initiated with the snake falling at a steep angle. As the snake rotates in the pitch axis, it forms a wide "S" shape and begins undulating in a complex three-dimensional pattern, with the body angled upward relative to the glide path. The head moves side-to-side, sending traveling waves posteriorly toward the tail, while the body (most prominently, the posterior end) oscillates in the vertical axis. These active movements while gliding are substantially different and more dynamic than those used by any other animal glider. As the snake gains forward speed, the glide path becomes less steep, reaching minimally recorded glide angles of 13°. In general, smaller snakes appear to be more proficient gliders. Chrysopelea paradisi can also maneuver and land either on the ground or on vegetation, but these locomotor behaviors have not been studied in detail. Future work aims to understand the mechanisms of production and control of force in takeoff, gliding, and landing, and to identify the musculoskeletal adaptations that enable this unique form of locomotion.     

Analysis of Biomechanical Characteristics of Football Players at Different Levels Kicking with the Inner Edge of Instep

This study aims to analyze the difference in biomechanical properties of football players at different levels when kicking the football with the inner edge of the instep. Before the experiment, ten football players were selected; five were higher than the national level (group A), and the other five players were lower than the national level II (group B). During the experiment, the motion process was captured by a high-speed camera for biomechanical analysis. It was found that in group A, the thigh and leg swung in less time and larger amplitude, the acceleration of backswing and forward swing of the leg was larger, and the angular velocity of forward swing was also larger. At the moment of touching the ball, in the sagittal plane, the ankle joint angle and angular velocity of group A were larger than those of group B (P < 0.05). In conclusion, the high-level athletes can complete the high-quality kicking through a larger swing amplitude and speed of the kicking leg. In the training process, the athletes should pay attention to the speed and strength of the kicking leg to improve the kicking level.     

Orthogonal bone cutting: saw design and operating characteristics

The cutting process of orthopaedic bone saws was considered as orthogonal (two-dimensional) cutting for determination of the horizontal and vertical force components of single edge cutting tools with rake angles of 0 to -30 degrees. The Merchant analysis for orthogonal cutting was used to determine the resultant force and other force and work relationships. The effect of an imposed lateral vibration on the cutting tool was also investigated. The results of the tests indicated a strong interaction between the measured and derived forces with the rake angle and feed velocity. It was concluded that to reduce the cutting forces and work expenditure, a negative rake angle between 0 and -10 degrees, high feed velocity, and an imposed lateral vibration provided the greatest reduction in force and energy expenditure.     

Rectifying postures reconstructed from joint angles to meet constraints.

Postures are often described and modeled using angles between body segments rather than joint coordinates. Models can be used to predict these angles as a function of anthropometry and postural requirements. Postural representation, however, requires the joint coordinates. The use of conventional forward kinematics to derive joint coordinates from predicted angles may violate task constraints, such as the placement of a hand on a target or a foot on a pedal. Errors arise because the anthropometry or other motion characteristics of a subject, for which the prediction is to be made, may differ from the data from which the prediction model was derived. We describe how to rectify model-predicted postures to exactly satisfy such task constraints. We require that the model used for predicting the angles also produce estimates of the variation in these predictions. We show how to alter the initial angle predictions, with the amount of perturbation at each angle dependent on the accuracy of its estimation, so as to exactly satisfy the joint coordinate constraints. Finally, we show in an empirical example that this correction usually produces better overall predictions of posture than those obtained initially.