Dynamic Stability Analysis of Truss Structures under Nonconservative Constant and Pulsating Follower Forces

Author(s):  
Jiann-Tsair Chang ◽  
I-Dan. Huang ◽  
Wei-Ming Hou ◽  
Ping-Kun Chang
1998 ◽  
Vol 13 (2) ◽  
pp. 75-81 ◽  
Author(s):  
Qi-Lin Zhang ◽  
Udo Peil

In this paper the concept of energy increment map is presented for stability judgement of elastic truss structures under arbitrary dynamic excitations. The modified member theory is adopted to establish the equilibrium equations of the structures. The motion trajectories of structures are numerically solved in time domain and the corresponding stability states are studied according to the energy increment map. Numerical examples show that the method of this paper can lead to satisfactory results in dynamic stability analysis of elastic truss structures.


2011 ◽  
Vol 413 ◽  
pp. 283-288
Author(s):  
Rui Hua Zhuo ◽  
Shu Wang Yan ◽  
Lei Yu Zhang

The unification differential equation of buckling and motion of viscoelastic beam subjected to the uniformly distributed follower forces in time domain was established by differential operators including extension viscosity, shearing viscosity and moment of inertia. According to the unification differential equation, dynamic stability of three-parameter model of viscoelastic beams subjected to follower forces with clamped-free supported boundary condition was firstly analyzed by power series. The relations of the follower force versus vibration frequency and decay coefficient were obtained, so was the effect of viscous coefficient on the critical load of beams.


1987 ◽  
Vol 113 (7) ◽  
pp. 1085-1100 ◽  
Author(s):  
Tsunemi Shigematsu ◽  
Takashi Hara ◽  
Mitao Ohga

1995 ◽  
Vol 31 (4) ◽  
pp. 675-681 ◽  
Author(s):  
Wei-Jen Lee ◽  
Mo-Shing Chen ◽  
Jae-Hyeon Gim ◽  
K. Yoshimura ◽  
Shih-Ping Wang

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