反对 发表于 2025-3-23 11:13:19
Bernard Brogliato PhDriginal phrase reportedly meant it as a sarcastic snipe, a criticism of those who would bulldoze their way across the frontier with the self-serving intent to acquire and exploit vast new land tracts for their own private control and profit.membrane 发表于 2025-3-23 15:23:52
Distributional model of impacts,thout mentioning constraints. Then unilateral constraints are presented without speaking of contact forces. Emphasis is put on measure differential equations (MDEs), and on the difference between several types of MDEs and those which represent the dynamics of mechanical systems with unilateral const允许 发表于 2025-3-23 18:24:33
Approximating problems,vantage of providing an attractive framework of impact dynamics. Note however that bodies that collide do possess a certain compliance, so that the collision duration is strictly positive (.) and local deformations occur near the point of impact. Actually global (vibrational) deformations are also c其他 发表于 2025-3-23 23:16:19
Variational principles,erive extensions to basic tools of classical mechanics, e.g.. the . and the . in the case of impacts phenomena. From the rigid body assumption, it can be shown that the theorems of the linear and angular momenta can be easily retrieved (see chapter 4), and that they do not depend on the chosen framevisual-cortex 发表于 2025-3-24 05:46:42
Two bodies colliding,ooth dynamics and the unilateral constraints is not complete, since one needs the knowledge of the behaviour of the system on the constraints surface to investigate global motion. In fact, the behaviour at the impact is generally modeled by a set of coefficients (not necessarily constant) that relat健谈的人 发表于 2025-3-24 08:01:42
Multiconstraint nonsmooth dynamics,iculties encountered when several constraints are present. Some simple examples are used to introduce the problem. Then we present a general method, the so-called ., that consists of a particular way of writing the dynamical equations of systems with unilateral constraints, through specific measureFresco 发表于 2025-3-24 13:34:14
Stability of nonsmooth dynamical systems,tence, uniqueness, continuous dependence on initial conditions and parameters. Roughly, we have seen that those dynamical systems are represented by measure differential equations (MDEs). We have also discussed the differences between dynamical equations of systems with unilateral constraints and MDlicence 发表于 2025-3-24 16:11:15
http://reply.papertrans.cn/67/6679/667881/667881_18.pngascetic 发表于 2025-3-24 19:47:10
http://reply.papertrans.cn/67/6679/667881/667881_19.pngdefinition 发表于 2025-3-25 01:19:43
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