航空学报 > 1990, Vol. 11 Issue (11): 539-544

弱粘弹性材料结构振动系统的模态特点

陈国平, 朱德懋   

  1. 南京航空学院
  • 收稿日期:1989-10-25 修回日期:1990-04-15 出版日期:1990-11-25 发布日期:1990-11-25

THE MODAL FEATURES OF VIBRATION SYSTEMS WITH WEAKLY-VISCOELASTIC MATERIAL STRUCTURES

Chen Guoping, Zhu Demao   

  1. Nanjing Aeronautical Institute
  • Received:1989-10-25 Revised:1990-04-15 Online:1990-11-25 Published:1990-11-25

摘要: 本文把弱粘弹性材料结构分为单模量和多模量情形,展开对其模态性能的讨论。本文指出了弱粘弹性材料结构的特征值是一组有理分式多项式方程的根,并给出了关于这些有理分式多项式方程根的一个定理。根据这一定理和弱粘弹性材料的动态性能特点,阐明了弱粘弹性材料结构的模态特点。

关键词: 粘弹性, 弱粘弹性, 结构振动, 模态性能

Abstract: The modal features of weakly-viscoelastic material structures for single-modulus materials are discussed in this paper. It is pointed out that the eigenvalues of these structures are the roots of a series of rational fraction polynomial equations. A theorem about the roots of these equations is proved in the paper. Based on it, some important conclusions about the modal features of weakly-viscoelastic material structures are drawn according to their dynamic behavior.

Key words: viscoelasticity, weakly-viscoelasticity, structural vi-bration, modal characteristics.