STABILITY OF A TIMOSHENKO BEAM RESTING ON A WINKLER ELASTIC-FOUNDATION

被引:33
作者
LEE, SY
KUO, YH
LIN, FY
机构
[1] Mechanical Engineering Department, National Cheng Kung University, Tainan
关键词
D O I
10.1016/S0022-460X(05)80001-X
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
The influences of a Winkler elastic foundation modulus, slenderness ratio and elastically restrained boundary conditions on the critical load of a Timoshenko beam subjected to an end follower force are investigated. The characteristic equation for elastic stability is derived. It is found that the critical flutter load for the cantilever Timoshenko beam will first decrease as the elastic foundation modulus is increased and when the elastic foundation modulus is greater than the corresponding critical value, which corresponds to the lowest critical load, it will increase, instead. In particular, if the elastic foundation modulus is large enough, the critical flutter load for the cantilever Timoshenko beam can be greater than that of the Bernoulli-Euler beam. For a clamped-translational or clamped-rotational elastic spring supported beam resting on an elastic foundation, there exists a critical value of the spring constant for each beam. At this critical point, the critical load jumps and the type of instability mechanism changes. The jump mechanisms for beams resting on elastic foundations of different modulus values are different. © 1992 Academic Press Limited.
引用
收藏
页码:193 / 202
页数:10
相关论文
共 29 条
[1]  
BOLOTIN VV, 1979, NONCONSERVATIVE PROB
[2]   GENERAL-CHARACTERISTICS, TRANSITION, AND CONTROL OF INSTABILITY OF TUBES CONVEYING FLUID [J].
CHEN, SS ;
JENDRZEJCZYK, JA .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1985, 77 (03) :887-895
[3]   THE INFLUENCE OF AN INTERMEDIATE SUPPORT ON THE STABILITY BEHAVIOR OF CANTILEVER BEAMS SUBJECTED TO FOLLOWER FORCES [J].
DEROSA, MA ;
FRANCIOSI, C .
JOURNAL OF SOUND AND VIBRATION, 1990, 137 (01) :107-115
[4]   DIVERGENCE AND FLUTTER OF NONCONSERVATIVE SYSTEMS WITH INTERMEDIATE SUPPORT [J].
ELISHAKOFF, I ;
LOTTATI, I .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1988, 66 (02) :241-250
[5]   GENERALIZATION OF SMITH-HERRMANN PROBLEM WITH THE AID OF COMPUTERIZED SYMBOLIC ALGEBRA [J].
ELISHAKOFF, I ;
WANG, X .
JOURNAL OF SOUND AND VIBRATION, 1987, 117 (03) :537-542
[6]   INFLUENCE OF VARIOUS TYPES OF ELASTIC-FOUNDATION ON THE DIVERGENCE AND FLUTTER OF ZIEGLER MODEL STRUCTURE [J].
ELISHAKOFF, I ;
JACOBY, A .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1987, 38 (05) :779-784
[7]  
ELISHAKOFF I, 1987, SOLID MECH ARCH, V12, P379
[9]  
HAUGER W, 1976, J SOUND VIB, V47, P296, DOI 10.1016/0022-460X(76)90726-4
[10]  
Herrmann G., 1964, J APPL MECH, V31, P435, DOI 10.1115/1