EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR ACCELERATIONS FOR MULTI-BODY SYSTEMS WITH FRICTION

Klepp HJ.

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EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR ACCELERATIONS FOR MULTI-BODY SYSTEMS WITH FRICTION

机译：多体摩擦系统加速度解解的存在与唯一性

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A multi-body system with one degree-of-freedom and friction-affected constraints is considered. The differential equation of motion established by Lagrange's equation of the second kind, the equations of the reaction forces resulting from conditions of kinetic equilibrium, and the friction laws constitute a non-linear algebraic system for the computation of the accelerations. These equations allow the determination of limit values of friction parameters, which assure finite solutions for accelerations. With friction parameters larger than these limit values solutions do not exist or are not unique. The solutions are determined by the direct iteration method. [References: 12]

机译：考虑具有一个自由度和受摩擦影响的约束的多体系统。由第二种拉格朗日方程建立的运动微分方程，由动平衡条件产生的反作用力方程以及摩擦定律构成了用于计算加速度的非线性代数系统。这些方程式可以确定摩擦参数的极限值，从而确保加速度的有限解。如果摩擦参数大于这些极限值，则解决方案将不存在或不是唯一的。解决方案通过直接迭代法确定。 [参考：12]

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《Zeitschrift fur Angewandte Mathematik und Mechanik》 |1995年第9期|p. 679-689|共11页
作者
Klepp HJ.;
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RUHR UNIV BOCHUM DEPT TECH MECH UNIV STR 150 D-44780 BOCHUM GERMANY;

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正文语种 eng
中图分类应用数学;
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专利

1. EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR ACCELERATIONS FOR MULTI-BODY SYSTEMS WITH FRICTION [J] . Klepp HJ. Zeitschrift fur Angewandte Mathematik und Mechanik . 1995,第9期

机译：多体摩擦系统加速度解解的存在与唯一性
2. The convergence of iterative acceleration computation for multi-body systems with friction [J] . Horst J. Klepp ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees . 1997,第2期

机译：摩擦多体系统迭代加速度计算的收敛性
3. On existence and uniqueness of solutions for equations of motion of mechanical system with dry friction. [J] . Matrossov IV. Nonlinear Analysis: An International Multidisciplinary Journal . 2001,第8aPta2Speca期

机译：具有干摩擦的机械系统运动方程解的存在性和唯一性。
4. Existence and Uniqueness of the Solution for a Two-Dimensional Elastic Frictional Contact Problem [C] . Baofeng Li, Yuhuan Cui, Yiming Chen MultiMedia and Information Technology, 2008. MMIT '08 . 2008

机译：二维弹性摩擦接触问题解的存在唯一性
5. Uniqueness and existence results on viscosity solutions of some free-boundary problems. [D] . Kim, Christina. 2002

机译：某些自由边界问题的粘性解具有唯一性和存在性。
6. Existence of unique common solution to the system of non-linear integral equations via fixed point results in incomplete metric spaces [O] . Mian Bahadur Zada, Muhammad Sarwar, Stojan Radenović -1

机译：通过定点存在非线性积分方程组的唯一公共解会导致度量空间不完整
7. An overview of the formulation, existence and uniqueness issues for the initial value problem raised by the dynamics of discrete systems with unilateral contact and dry friction [O] . Patrick Ballard, Alexandre Charles 2018

机译：分立系统的动态与单侧接触和干摩擦产生的初始价值问题的制定，存在和唯一性问题概述

EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR ACCELERATIONS FOR MULTI-BODY SYSTEMS WITH FRICTION

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