A COMPARISON OF VARIOUS MATHEMATICAL FORMULATIONS AND NUMERICAL-SOLUTION METHODS FOR THE LARGE-AMPLITUDE OSCILLATIONS OF A STRING PENDULUM

被引：17

作者：

KUHN, A ^{[1
]}

STEINER, W ^{[1
]}

ZEMANN, J ^{[1
]}

DINEVSKI, D ^{[1
]}

TROGER, H ^{[1
]}

机构：

[1] UNIV MARIBOR,MARIBOR 62000,SLOVENIA

来源：

APPLIED MATHEMATICS AND COMPUTATION | 1995年 / 67卷 / 1-3期

基金：

奥地利科学基金会;

关键词：

D O I：

10.1016/0096-3003(94)00060-H

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The large amplitude planar oscillations of a string pendulum the length of which can be varied is studied. The string is modeled as a massive one-dimensional viscoelastic continuum and the end mass as a point mass. Two different sets of equations of motion, one in a rotating frame (shadow frame) and the other in a space fixed nonrotating frame, are presented, resulting in systems of coupled nonlinear partial and ordinary differential equations. Four different solution strategies namely a Galerkin modal appraoch, a finite element discretization, a finite difference discretization and the use of the FE-package ANSYS are compared with each other and with experimental results.

引用

页码：227 / 264

页数：38