Damped vibration mode superposition method for dynamic response analysis

1973 ◽  
Vol 2 (1) ◽  
pp. 47-57 ◽  
Author(s):  
Tetsuji Itoh
Author(s):  
W Gao ◽  
N Zhang ◽  
J Ma ◽  
X B Wang

Dynamic response analysis of truss structures with interval parameters under interval loads are investigated using a new method called the interval factor method (IFM). Using the IFM, the structural physical parameters, geometric dimensions, and loads can be considered as interval variables. The structural stiffness and mass matrices can then, respectively, be described by the product of two parts corresponding to the deterministic matrix and the interval factors of structural parameters. The computational expressions for the midpoint value, lower and upper bounds of the structural dynamic responses are derived by means of the mode superposition method and interval operations. The influences of the uncertainty of the structural parameters and loads on the structural dynamic responses are demonstrated by using truss structures.


2014 ◽  
Vol 638-640 ◽  
pp. 172-177
Author(s):  
Geng Chen ◽  
Jia Qu ◽  
Chun Yu Tian

LNG storage tank is an important department in the gas receiving station. LNG in the tank is flammable and explosive medium, once the tank damaged, disasters may be happened. So researching the dynamic response analysis is very necessary. In this paper, modal analysis of LNG outside tank were performed by ANSYS Workbench, the first six orders of mode shapes and their frequencies of LNG outside tank were concluded. Contrast vibration mode and natural frequency of the LNG storage tanks with ring beam and no ring beam, the influence of ring beam of LNG tank mode has been discussed. Conduct a series experiment by change the parameters of the ring beam, Parameters for ring beam effect on the inherent frequency and vibration mode of LNG outside tank has been researched. This research has provided the provided the reliable basis for the safety using of tanks and has built the base of the further dynamic response analysis.


2015 ◽  
Vol 2015 ◽  
pp. 1-15 ◽  
Author(s):  
E. Tubaldi ◽  
A. Dall’Asta ◽  
L. Dezi

Partially isolated bridges are a particular class of bridges in which isolation bearings are placed only between the piers top and the deck whereas seismic stoppers restrain the transverse motion of the deck at the abutments. This paper proposes an analytical formulation for the seismic analysis of these bridges, modelled as beams with intermediate viscoelastic restraints whose properties describe the pier-isolator behaviour. Different techniques are developed for solving the seismic problem. The first technique employs the complex mode superposition method and provides an exact benchmark solution to the problem at hand. The two other simplified techniques are based on an approximation of the displacement field and are useful for preliminary assessment and design purposes. A realistic bridge is considered as case study and its seismic response under a set of ground motion records is analyzed. First, the complex mode superposition method is applied to study the characteristic features of the dynamic and seismic response of the system. A parametric analysis is carried out to evaluate the influence of support stiffness and damping on the seismic performance. Then, a comparison is made between the exact solution and the approximate solutions in order to evaluate the accuracy and suitability of the simplified analysis techniques for evaluating the seismic response of partially isolated bridges.


Sign in / Sign up

Export Citation Format

Share Document