DYNAMICAL POTENTIAL FOR NONLINEAR VIBRATIONS OF CANTILEVERED BEAMS

被引:4
作者
BERDICHEVSKY, VL [1 ]
KIM, WW [1 ]
OZBEK, A [1 ]
机构
[1] GEORGIA INST TECHNOL,SCH CIVIL ENGN,ATLANTA,GA 30332
关键词
D O I
10.1006/jsvi.1995.0009
中图分类号
O42 [声学];
学科分类号
070206 [声学]; 082403 [水声工程];
摘要
Recently it was shown that averaged characteristics of non-linear vibrations are potential functions of load parameters in the limit of small dissipation. The question of the range of dissipation for which potentiality takes place remained open. In this paper, we study this question for the case of non-linear vibrations of a cantilever beam excited harmonically at the unclamped end. We develop a non-linear one-degree-of-freedom beam model and show that the existence of a dynamical potential of beam vibrations can be guaranteed with acceptable accuracy even for sufficiently large dissipation.
引用
收藏
页码:151 / 164
页数:14
相关论文
共 9 条
[1]
Arnold V. I., 1989, MATH METHODS CLASSIC, V60
[2]
ARNOLD VI, 1989, DYNAMICAL SYSTEMS, V3
[3]
BERDICHEVSKY V, 1993, INT J ENG SCI, V31
[4]
Berdichevsky VL., 1983, VARIATIONAL PRINCIPL
[5]
Meirovitch L., 1967, ANAL METHODS VIBRATI
[6]
Moon F. C., 1987, CHAOTIC VIBRATIONS I
[7]
Nayfeh A. H., 2008, NONLINEAR OSCIL
[8]
Stoker J.J., 1950, NONLINEAR VIBRATIONS, V2
[9]
Timoshenko S. P., 1974, VIBRATION PROBLEMS E