Response of elastic continuum carrying moving linear oscillator.

被引:65
作者
Pesterev, AV
Bergman, LA
机构
[1] Inst. for System Analysis, Russian Academy of Sciences, Moscow, 117312, pr. 60-letiya
[2] Aero. and Astronautical Engrg. Dept., Univ. of Illinois, Urbana, IL 61801
来源
JOURNAL OF ENGINEERING MECHANICS-ASCE | 1997年 / 123卷 / 08期
关键词
D O I
10.1061/(ASCE)0733-9399(1997)123:8(878)
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
This paper presents a method for solving the problem of the dynamic response of a continuous elastic structure carrying a moving linear oscillator. The method reduces the problem to the integration of a system of linear ordinary differential equations governing the time-dependent coefficients of the series expansion of the response in terms of the eigenfunctions of the continuous structure. The method is simple and elegant and can be applied to any conservative spatially one-dimensional continuum with arbitrary boundary conditions.
引用
收藏
页码:878 / 884
页数:7
相关论文
共 9 条
[1]  
AZAROV VL, 1975, MATH METHODS INVESTI
[2]  
BOGACZ R, 1993, Z ANGEW MATH MECH, V73, pT195
[3]  
Fryba L, 1972, VIBRATION SOLIDS STR, DOI DOI 10.1007/978-94-011-9685-7
[4]  
LYNSTERNIK LA, 1974, ELEMENTS FUNCTIONAL
[5]   Vibration of elastic continuum carrying accelerating oscillator [J].
Pesterev, AV ;
Bergman, LA .
JOURNAL OF ENGINEERING MECHANICS-ASCE, 1997, 123 (08) :886-889
[6]   ON INVERSION OF SOME MEROMORPHIC MATRICES [J].
PESTEREV, AV ;
TAVRIZOV, GA .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1994, 212 :505-521
[7]   VIBRATIONS OF BEAMS WITH OSCILLATORS .1. STRUCTURAL-ANALYSIS METHOD FOR SOLVING THE SPECTRAL PROBLEM [J].
PESTEREV, AV ;
TAVRIZOV, GA .
JOURNAL OF SOUND AND VIBRATION, 1994, 170 (04) :521-536
[8]   ON THE DYNAMICS OF ELASTIC-SYSTEMS WITH MOVING CONCENTRATED MASSES [J].
SADIKU, S ;
LEIPHOLZ, HHE .
INGENIEUR ARCHIV, 1987, 57 (03) :223-242
[9]   ON A NEW THEORY OF THE DYNAMIC BEHAVIOR OF THE STRUCTURES CARRYING MOVING MASSES [J].
STANISIC, MM .
INGENIEUR ARCHIV, 1985, 55 (03) :176-185