On asymptotic modelling of constraints that do not change the degrees of freedom

被引：4

作者：

Ilanko, S ^{[1
]}

机构：

[1] Univ Canterbury, Dept Mech Engn, Christchurch 1, New Zealand

来源：

JOURNAL OF SOUND AND VIBRATION | 2006年 / 292卷 / 3-5期

关键词：

D O I：

10.1016/j.jsv.2005.08.033

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

This paper shows that the asymptotic modelling method using positive and negative restraints may be applied to systems where the constraints do not affect the number of degrees of freedom. This applies in cases where the constraints are not associated with mass or inertia. The existence and convergence theorems have been refined to cover this type of systems. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：604 / 609

页数：6

共 6 条

[1]

[Anonymous], LECT NOTES MATH

[2]

Courant R., 1943, B AM MATH SOC, DOI [DOI 10.1090/S0002-9904-1943-07818-4, 10.1090/s0002-9904-1943-07818-4]

[3]

GHALI A, 1979, STRUCTURAL ANAL, P709

[4] Asymptotic modelling of rigid boundaries and connections in the Rayleigh-Ritz method [J].

Ilanko, S ;

Dickinson, SM .

JOURNAL OF SOUND AND VIBRATION, 1999, 219 (02) :370-378

[5] Existence of natural frequencies of systems with artificial restraints and their convergence in asymptotic modelling [J].

Ilanko, S .

JOURNAL OF SOUND AND VIBRATION, 2002, 255 (05) :883-898

[6] The use of negative penalty functions in constrained variational problems [J].

Ilanko, S .

COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 2002, 18 (09) :659-668

← 1 →