Dynamics of highly elastic mechanisms using the generalized multiple shooting method: Simulations and experiments
Journal
Mechanism and Machine Theory
Journal Volume
44
Journal Issue
12
Start Page
2164
End Page
2178
ISSN
0094114X
Date Issued
2009
Author(s)
Abstract
We present the generalized multiple shooting method (GMSM) to analyze the dynamics of elastic mechanisms. The GMSM solves a boundary value problem by treating it as an initial value problem. Its accuracy depends on the order of space marching schemes rather than size of discretization. Dynamic equations with joint boundary conditions are derived by using Hamilton's principle to be systematically solved by the GMSM. Comparing with existing solutions and experiments, the GMSM is shown to be efficient yet it captures deflection precisely. We expect it to serve as a good alternative to existing methods.
Subjects
Centrifugal Stiffening
Elastic Mechanisms
Flexible Multibody Dynamics
Four-bar Mechanism
Hamilton's Principle
Shooting Method
Centrifugal Stiffening
Elastic Mechanisms
Flexible Multibody Dynamics
Four-bar Mechanism
Hamilton's Principle
Shooting Method
Bars (metal)
Centrifugation
Differential Equations
Dynamics
Initial Value Problems
Mechanical Engineering
Elasticity
Type
journal article