TRANSIENT WAVE ENVELOPE ELEMENTS FOR WAVE PROBLEMS

1996 ◽  
Vol 192 (1) ◽  
pp. 245-261 ◽  
Author(s):  
R.J. Astley
Keyword(s):  
1970 ◽  
Vol 37 (4) ◽  
pp. 889-894 ◽  
Author(s):  
B. M. Rao ◽  
G. W. Zumwalt

The conservation laws for a plane fluid flow were simplified by the weak wave approximations valid for sonic boom-type waves and applied to a field of mesh points, utilizing the “artificial viscosity” concept for numerical stability. The numerical analysis was applied to predict the pressure history of the sonic boom wave on the window of a commercial store building in Oklahoma City which was broken during a sonic boom test in 1964. The results were compared with the results of a two-dimensional analytical method which was developed earlier by the authors and which rests on firm physical and mathematical foundations. Agreement was very good. The numerical method is not limited to plane cases but should be capable of extension to three-dimensional transient wave problems.


2018 ◽  
pp. 39-43
Author(s):  
K.S. Sultanov ◽  
P.V. Loginov ◽  
Z.R. Salikhova

The method to define strain characteristics of soil under dynamic loading is proposed based on the results of experiments on dynamic compression of soils on the device for dynamic loading in laboratory conditions; the method allows solving wave problems with the statement similar to the statement of experiments. Using the proposed method, the modulus of dynamic and static compression, the modulus of unloading, the coefficient of viscosity of loess soil in the range of seismic loads are determined in accordance with elastic-visco-plastic model of soil developed by G.M.Lyakhov.


2020 ◽  
Author(s):  
Laura V. Young ◽  
Alasdair WR Cameron ◽  
Stevan SA Springer ◽  
Joel Ross ◽  
Grant Wolters ◽  
...  

2021 ◽  
Vol 911 ◽  
Author(s):  
L.F. Chen ◽  
P.H. Taylor ◽  
D.Z. Ning ◽  
P.W. Cong ◽  
H. Wolgamot ◽  
...  
Keyword(s):  

Abstract


Mathematics ◽  
2021 ◽  
Vol 9 (7) ◽  
pp. 704
Author(s):  
Wenjun An ◽  
Guquan Song ◽  
Shutong Chen

Given the influence of near-fault vertical seismic action, we established a girder-spring-damping-rod model of a double-span continuous girder bridge and used the transient wave function expansion method and indirect modal function method to calculate the seismic response of the bridge. We deduced the theoretical solution for the vertical and longitudinal contact force and displacement response of the bridge structure under the action of the near-fault vertical seismic excitation, and we analyzed the influence of the vertical separation of the bridge on the bending failure of the pier. Our results show that under the action of a near-fault vertical earthquake, pier-girder separation will significantly alter the bridge’s longitudinal displacement response, and that neglecting this separation may lead to the underestimation of the pier’s bending damage. Calculations of the bending moment at the bottom of the pier under different pier heights and cross-sectional diameters showed that the separation of the pier and the girder increases the bending moment at the pier’s base. Therefore, the reasonable design of the pier size and tensile support bearing in near-fault areas may help to reduce longitudinal damage to bridges.


2021 ◽  
Vol 160 ◽  
pp. 107874
Author(s):  
Tong-Chuan Che ◽  
Huan-Feng Duan ◽  
Pedro J. Lee

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