Advanced Materials Research Vol. 507

Abstract: Although the mechanical analysis on electric shaft is a complex and trival analysis process, the analysis method of using UG makes the force analysis of electric shaft single, rapid, accurate, and we realized the graphical level and improve the design efficiency and design quality. Through establishing a mathematical model, this paper analyzed the force characteristic of shaft according to the mathematical model.Then analyzed the force of connecting in rod automobile engine by using 3D software Unigraphics (UG).Fianlly we get the force data, whch provides theoretical basis and technical support for the axis force research of electric vehicle.

Abstract: The main purpose of this research is to establish and validate the flight movement equation of a badminton, and found the relationship between the velocity of badminton and the air resistance. The research method is based on the motion laws of aerodynamics,which establish a motion equation of flight trajectory under the influence of the gravity and air resistance by applying the theory of aerodynamics. The results show that the motion equations of flight trajectory of a badminton can be determined through the structure of terminal velocity,and the measured data is quite good fitting with the prediction of badminton movement trajectory. Findings also show, the resistance is proportional to the square of the badminton's speed. In addition, the angle and intensity of the wind may affect the trajectory.

Abstract: In allusion to the measurement and control system of the fracture traumatic cross-section stress, because of the manufacturing error and installation error of its mechanical components, the axial and radial force of the indicating value of the dynamometer exists at the same time, and the radial force will damage the fracture healing. According to the mechanical structure of the measurement and control system of fracture traumatic cross-section stress, analyzed the mechanics transmission, and established the mechanics transfer model of the stress measurement and control system. Based on the force method typical equations, acquired the unknown force and torque of the measurement and control system. Take the radial force of the indicating value of the fracture two-dimensional dynamometer into the mechanics transfer model expression, thus obtain the result of the fracture traumatic cross-section affected by the radial force that applied by the stress measurement and control system, and then adjust the size and direction of the radial force on the fracture trauma section applied by the stress measurement and control system, and reduce the negative effect of the radial force on fracture healing.

Abstract: Four constrained equations were established by vector method with complex numbers according to four loops of the mechanism and four supplement equations were also established by increasing four variables and the relation of sine and cosine function. The established eight equations are that of forward displacement analysis of the 30th 2-coupled–degree nine-link Barranov truss mechanism. Combining least square method with hyper-chaotic sequences, hyper-chaotic least square method based on utilizing two-dimensional discrete hyper-chaotic system to obtain locate initial points to find all real solutions of the nonlinear questions was proposed. The numerical example of forward displacement analysis was given. Comparison was also done with other finding solution method. The result shows that all real solutions have been quickly obtained, and it proves the correctness and validity of the proposed method.

Abstract: Monotonically decreasing sequence data for the use of traditional modeling methods to establish the grey model accuracy is not high, grey GM (1,1) model, there is a deviation, the model does not meet the conditions for coordination, generated using the definition of reverse accumulation, full use of system information and unbiased grey GM (1,1) model parameters of the model derived formula, based on reverse incremental build new interest generated by an unbiased model grey GOM (1,1) model for the grey model provides a new method. Data processing examples show that the model's practicality and reliability.

Abstract: Limited diffracting waves which have great application potential for field focus depth enlargement in acoustic imaging systems. The calculation of limited diffracting waves acoustic fields is most often based on the spatial impulse response approach as suggested by field is found from a convolution between the acceleration of Tupholme and Stepanishen. This paper shows the limited diffracting waves acoustic based on annular planar transducers, it can be found from the crossings between the boundary of the aperture and a spherical wave emitted from the field point onto the plane of the emitting aperture. Summing the angles of the arcs within the aperture readily yields the spatial impulse response for a point in space. The approach not only make it easy to calculate of limited diffracting waves acoustic fields but also improve the accuracy of simulation results of acoustic fields.

Abstract: The solutions of mechanism position fall squarely into the solutions of nonlinear evolution equations, which is an extremely difficult process. Using the chaotic sequence as the initial values of mathematical programming, all solutions of equations can be quickly found out. Neural network, which is a highly complicated nonlinear system, exist the chaos phenomenon. By eliminating the simulated annealing strategy of the transient chaos nerve cell, a kind of chaotic nerve cell that could permanently maintain chaos was investigated. With the hyper-chaos system and mathematical programming, the this new method for solving the nonlinear equation setting based on the initial node generating by the hyper-chaos mathematical programming of neural network was put forward. The mathematical model of forward displacement analysis of general 6-SPS parallel mechanisms is set up based on a quaternion.

Abstract: The study introduced tennis rackets and listed their categories firstly. The purpose was to analyze features of tennis racket. This study showed the influence of vibration mode on response of tennis rackets and Player sensitivity to changes in string tension in a tennis racket. Combining bounce of a tennis ball, made out the applications of tennis racket: a analysis of the ball and racket during first and second tennis serves.

Abstract: The accuracy of the traditional grey model is not high for the monotonic decreasing data and the model can not satisfy the compatibility conditions which make the error be not avoided. The paper adopts inverse accumulated generating operation and unbiased GM(1,1) model to induces the parameters in the model and establishes the unbiased grey unbiased GOM(1,1) model based on inverse accumulated generating operation. The model has high accuracy and has good value in the theory and practice. The examples show it is practical and reliable.