NATURAL FREQUENCY OF STEPPED BEAM HAVING MULTIPLE OPEN CRACKS BY TRANSFER MATRIX METHOD

2007 ◽  
pp. 1975-1979 ◽  
Author(s):  
Q. Chen ◽  
S.C. Fan ◽  
D.Y. Zheng
2019 ◽  
Vol 2019 ◽  
pp. 1-8 ◽  
Author(s):  
Peng Xu ◽  
Guanlu Jiang

The dynamic response magnitudes of retaining walls under seismic loadings, such as earthquakes, are influenced by their natural frequencies. Resonances can occur when the natural frequency of a wall is close to the loading frequency, which could result in serious damage or collapse. Although field percussion tests are usually used to study the health state of retaining walls, they are complicated and time consuming. A natural frequency equation for retaining walls with tapered wall facings is established in this paper using the transfer matrix method (TMM). The proposed method is validated against the results of numerical simulations and field tests. Results show that fundamental frequencies decrease gradually with wall height; soil elastic modulus exerts a great influence on the fundamental frequency for walls with smaller facing stiffness; fundamental frequencies are smaller for a hinged toe than a fixed toe condition, and this difference is smaller in taller walls.


2012 ◽  
Vol 538-541 ◽  
pp. 2477-2480
Author(s):  
Ming De Duan ◽  
Bo Yin Li ◽  
Guo Li Liang ◽  
Wu Guo Zhang ◽  
Xiao Feng Wang

Based on transfer matrix method, the dynamic model is established for the spindle system of a composite grinder, and the modal analysis is carried out. The lower-order modal shape and natural frequency in the determined condition is obtained, and the effects of the support span and the support stiffness on the dynamic characteristics of the spindle system are analyzed. The spindle system’s structure is parameterized by the use of Matlab to improve the efficiency of the modeling and calculation.


Author(s):  
Xiang Liu ◽  
Jingshan Zhao ◽  
Jie Zhang ◽  
Wei Chen

The rectilinear rear independent suspension investigated in this paper benefits from its excellent kinematic characteristics. Because of the over-constraints of the rectilinear rear independent suspension as a rigid-flexible coupled multi-body system, its elastokinematics are heavily dependent on the compliance characteristics. This paper proposes an efficient approach to establish its elastokinematic model based on the transfer matrix method. First, the overall system transfer equation of the rectilinear rear independent suspension is established. Then, the statics equation is obtained by introducing external loads and expanding the overall system transfer equation. Different configurations of rubber bushings are discussed with respectg to the natural frequency and the static deflections. Comparisons between numerical simulations and kinematic and compliance tests not only verified the approach but also demonstrated the excellent wheel alignment capacity of the rectilinear rear independent suspension.


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