Mechanical oscillators described by a system of differential-algebraic equations

被引：0

作者：

Dalibor Pražák

Kumbakonam R. Rajagopal

机构：

[1] Charles University,Department of Mathematical Analysis

[2] Texas A&M University,Department of Mechanical Engineering

来源：

Applications of Mathematics | 2012年 / 57卷

关键词：

differential-algebraic equations; existence and uniqueness of solutions; mechanical oscillators; 34C15; 34A09; 34A12;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The classical framework for studying the equations governing the motion of lumped parameter systems presumes one can provide expressions for the forces in terms of kinematical quantities for the individual constituents. This is not possible for a very large class of problems where one can only provide implicit relations between the forces and the kinematical quantities. In certain special cases, one can provide non-invertible expressions for a kinematical quantity in terms of the force, which then reduces the problem to a system of differential-algebraic equations.

引用

页码：129 / 142

页数：13