Abstract
The structural deformation velocity plays a significant role in the dynamic calculation of underground blast-resistant structures. The motion differentiating equation of a structure system taking into account the role of deformation velocity of the structure will truthfully describe the actual situation of structural vibration. With the one-dimensional plane wave theory, the expression of load on the structural periphery is developed, and the generalized variation principle for the dynamic analysis of underground arched-bar structures is given. At the same time, the results of the numerical calculation are compared.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
ZHAO Xiao-bing, FANG Qin. Vibration analysis of underground plane Arched-bar structures under explosive loading [J].Defense Engineering, 1999 (3): 20–25. (in Chinese)
CHIEN Wei-zang.Variation Method and Finite Element [M]. Beijing: Science Press, 1980. (in Chinese)
HSUEH Dah-wei. Generalized variational principles on nonlinear theory of elasticity with finite displacements [J].Applied Mathematics and Mechamics. (English Edition), 1991,12(3):227–236
ZHAO Yu-xiang, GU Xiang-zhen. The dynamic analysis of underground cylindrical structures under explosive loading [J].Underground Eingineering, 1978, (6): 26–31. (in Chinese)
Author information
Authors and Affiliations
Additional information
Communicated by XUE Da-wei
Biography: ZHAO Xiao-bing (1975-)
Rights and permissions
About this article
Cite this article
Xiao-bing, Z., Qin, F. Role of underground structure deformation velocity in the analysis of blast-resistant structures. Appl Math Mech 23, 487–492 (2002). https://doi.org/10.1007/BF02436218
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02436218
Key words
- blast-resistant structure
- dynamic analysis
- structural deformation velocity
- generalized variation principle