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To deal with that kind of contact arising between delaminated layers, an effective technique combining a law of impact with the classical penalty method is presented.


There are three basic equations in mechanics for treating collisions: the law of impact, kinematic compatibility, and energetic consistency.


It will be shown that Newton's law of impact for two colliding point masses can be derived from the concept of energy conservation and the principle of maximum dissipation, and has therefore not to be regarded as an independent equation.


The problem of collision of two rigid bodies has been reexamined and several alternative conditions, which extend the validity of the socalled Newton's law of impact, have been derived.


With a simple collision law based on some friction of the surfaces, the rotation increment is found to be roughly proportional to R 1, 36 on a circular path of radius R.


For ε=0, we obtain a Boltzmanntype integral with a collision law allowing "spiral" interactions and nonunique correspondence between impact parameter and scattering angle.


We study phase transitions of a system of particles on the onedimensional integer lattice moving with constant acceleration, with a collision law respecting slower particles.


We propose here a numerical scheme to compute the motion of rigid bodies with a nonelastic impact law.


By using Newton's impact law, the partial velocities of the contact points determine impulse force components.


Weshow here that in a number of cases, the limiting behavior of impact asits rigidity tends to infinity is given by Moreau's rule, i.e., in a more mathematical language, we justify this impact law by a penalty approach.


Newton's impact law is treated as an impulsive constraint equation to study singlepoint frictionless collision between two multibody systems.


Models of impact oscillators using an instantaneous impact law are by their very nature discontinuous.

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 The impulsive equation for general dynamic systems represented by pseudovelocities is presented. The dynamic systems may be holonomic cr nonholonomic. A matrix method for solving this equation is studied, which euables us to treat the impact motion of complex systems more easily.Three types of impact and its fundamental properties are discussed. It is demonstrated that the Newton's rule of impact and Carnot theorem are valid for the impulsive motion of complex systems. The "quivalent impulsive mass" of a complex... The impulsive equation for general dynamic systems represented by pseudovelocities is presented. The dynamic systems may be holonomic cr nonholonomic. A matrix method for solving this equation is studied, which euables us to treat the impact motion of complex systems more easily.Three types of impact and its fundamental properties are discussed. It is demonstrated that the Newton's rule of impact and Carnot theorem are valid for the impulsive motion of complex systems. The "quivalent impulsive mass" of a complex system and its computing formula are also derived and the conclusions of classical impact theory are thus extended.  本文提出伪速度下的碰撞方程,提出它的矩阵解法,讨论了复杂系统的三类碰撞问题,论证了复杂系统的碰撞定律和动能损失的Carnot定理,导出了“当量碰撞质量”的计算公式。  The author points out through experiment that the coefficient of restitution e between two objects is not a fixed value in nonelastic impact, i.e. the coefficient of restitution not only relates to the mass of the two objects participating in the impact, but also to their speed when approaching to impact. The article presents the experimental curve about the change of the coefficient of restitution with their speed when a copper ball and a steel plate are approaching to impact.A discussion is given theoretically... The author points out through experiment that the coefficient of restitution e between two objects is not a fixed value in nonelastic impact, i.e. the coefficient of restitution not only relates to the mass of the two objects participating in the impact, but also to their speed when approaching to impact. The article presents the experimental curve about the change of the coefficient of restitution with their speed when a copper ball and a steel plate are approaching to impact.A discussion is given theoretically to the one dimensional nonelastic impact by means of a physical model for the impact of a small rigid ball against M1KM2 system,and different opinions as well about the way to treat the experimenta 1 data of determining the coefficient of restitution which is discribed in the book ( Physics Experiment Dictionary ) published in Sapan.Finally a suggestion is made on the formulation of Newton's Law of restitution in the domestic revised textbook of university general physics and of theoretical mechanics  作者通过实验指出,在非弹性碰撞中,两物体间的恢复系数e不是定值。即恢复系数的大小不仅与参与碰撞的两物体的质料有关,还与碰撞前两物体的接近速度的大小有关。文中给出了铜球与钢板碰撞时恢复系数随碰前接近速度变化的实验曲线,并通过刚性小球与M_1KM_2系统碰撞的物理模型对一维非弹性碰撞问题作了理论上的初步探讨,同时对日本《物理实验辞典》一书中测定恢复系数的实验数据处理方法提出了不同意见。文章最后还就修订国内编写的大学普物教材和理力教材中关于牛顿碰撞定律的提法提出了建议。  It is pointed out in the paper that the optical concepts and laws can be normalized and full of internal relations by way of extension because of their universality, making them simpler, more profound, hormohious and unified. For example,the Newton's one dimentional collide theory can be extended into a more generallaw containing reversingcollide, bonding collide and punching collide. The primaryquantum concepts can also be extended into a unified, normalized form consistentwith waveparticle duality,, easily... It is pointed out in the paper that the optical concepts and laws can be normalized and full of internal relations by way of extension because of their universality, making them simpler, more profound, hormohious and unified. For example,the Newton's one dimentional collide theory can be extended into a more generallaw containing reversingcollide, bonding collide and punching collide. The primaryquantum concepts can also be extended into a unified, normalized form consistentwith waveparticle duality,, easily leading to the uncertainty principle.  本文指出:由于光学概念和规律(乃至其他物理概念)的普适性,按外延的方法延拓出去,往往能达到充满内在连系是归一效果,使得原概念和规律变得更为深刻、简明、和谐与统一。例如牛顿的一维碰撞定律经过延拓变得能包容回碰、粘碰、穿碰等宏观和微观碰撞的更广泛规律。光学中几个基本量子概念也可以相互延拓而概括归一为和波一粒二象性完全容洽的归一形式,从而更容易得出不确定原理。   << 更多相关文摘 
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