TY - JOUR

T1 - A comparison of various mathematical formulations and numerical solution methods for the large amplitude oscillations of a string pendulum

AU - Kuhn, A.

AU - Steiner, W.

AU - Zemann, J.

AU - Dinevski, D.

AU - Troger, H.

PY - 1995

Y1 - 1995

N2 - 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 approach, 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.

AB - 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 approach, 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.

UR - http://www.scopus.com/inward/record.url?scp=0000638518&partnerID=8YFLogxK

U2 - 10.1016/0096-3003(94)00060-H

DO - 10.1016/0096-3003(94)00060-H

M3 - Article

AN - SCOPUS:0000638518

SN - 0096-3003

VL - 67

SP - 227

EP - 264

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 1-3

ER -