Dynamic Response Optimization Design for Engineering Structures Based on Reliability

DAI Jun; CHEN Jian-jun; LI Yong-gong; ZHAO Zhu-qing; MA Hong-bo

Volume 24 Issue 1

Turn off MathJax

Article Contents

Abstract

References

Article Navigation > Applied Mathematics and Mechanics > 2003 > 24(1): 39-46

DAI Jun, CHEN Jian-jun, LI Yong-gong, ZHAO Zhu-qing, MA Hong-bo. Dynamic Response Optimization Design for Engineering Structures Based on Reliability[J]. Applied Mathematics and Mechanics, 2003, 24(1): 39-46.

Citation:

PDF( 330 KB)

Dynamic Response Optimization Design for Engineering Structures Based on Reliability

School of Electronic Mechanical Engineering, Xidian University, Xi'an 710071, China

Received Date: 2001-10-28
Rev Recd Date: 2002-09-25
Publish Date: 2003-01-15

Abstract

Abstract

In many practical structures, physical parameters of material and applied loads have random property. To optimize this kind of structures, an optimum mathematical model was built. This model has reliability constranints on dymanic stress and displacement and upper & lower limits of the design variables. The numerical characteristic of dynamic response and sensitivity of dynamic response based on probability of structure were deduced repectively. By equivalent disposing, the reliability constraints were changed into conventional forms. The SUMT method was used in the optimization process. Two examples illustrate the correctness and practicability of the optimum model and solving approach.
- engineering structure,
- dynamic response,
- dynamic sensitivity,
- reliability constraint,
- optimal design

FullText(HTML)

References(12)

References

[1]	陈建军,车建文,崔明涛,等.结构动力优化设计综述与展望[J].力学进展.2001,32(2):181-192.
[2]	Kapoor M P,Kumarasamy K.Optimum configuration of transmission towers in dynamic response regime[A].In:Topping B H V Ed.Proceedings International Symposium on Optimum Structural Design[C].Tucson:Ariz,Grodon & Breach,1981,185-189.
[3]	Chahande A I,Arora J S.Development of a multiplier method for dynamic response optimization problem[J].Structural Optimization,1993,5(6):69-78.
[4]	Pantelides C P,Tzan S R.Optimal design of dynamically constrained structures[J].Computers & Structures,1997,62(1):141-150.
[5]	Cheng G D,Kang Z,Wang G.Dynamic optimization of a turbine foundation[J].Structural Optimization,1997,13(4):244-249.
[6]	孙焕纯,石连栓,柴山.考虑动应力、动位移约束的离散变量结构优化设计[J].计算力学学报.1997,14(增刊):723-726.
[7]	顾元宪,亢战,关振群.MCADS系统在航天结构动力优化中的应用和发展[J].计算力学学报,1997,14(增刊):589-594.
[8]	Rao S S.Optimization of airplane wigng strctures under gust loads[J].Computers & Structures,1985,21(3):741-749.
[9]	Jha V K.Optimization of aerospace structures subjected to random vibration and fatigue constraints[J].The Shock & Vibration Bulletin,1986,56(part2):193-200.
[10]	陈塑寰,宋大同.多自由度振动结构的随机优化设计[J].力学学报,1994,29(4):432-439.
[11]	CHEN Jian-jun,CHE Jian-wen,SUN Huai-an,et al.Probability dynamic of truss structures[J].Structural Engineering & Mechanics.2002,13(2):231-239.
[12]	CHENG Jian-jun,DUAN Bao-yan.Structural optimization by displaying the reliability constraints[J].Computers & Structures,1994,50(6):777-783.

Relative Articles

[1]	KOU Lei, XU Jianguo, WANG Bo. Dynamic Response Analysis of Viscoelastic Multilayered Foundation in the Cartesian Coordinate System[J]. Applied Mathematics and Mechanics, 2018, 39(5): 529-537. doi: 10.21656/1000-0887.380155
[2]	LIANG Xiqiang, GAO Qiang, YAO Weian. An Efficient Algorithm Based on Dynamic System Properties and Group Theory for Transient Responses of 1D Periodic Structures[J]. Applied Mathematics and Mechanics, 2018, 39(2): 170-182. doi: 10.21656/1000-0887.380129
[3]	GUO Zhi-wen, XIAO Man-yu, XIA Liang. A POD-Based Parameterization Model for Material Microstructure Representation and Its Application to Optimal Design of Material Effective Mechanical Properties[J]. Applied Mathematics and Mechanics, 2017, 38(7): 727-742. doi: 10.21656/1000-0887.370279
[4]	LIU Xue-mei, DENG Zi-chen, HU Wei-peng. Structure-Preserving Algorithm for Fluid-Solid Coupling Dynamic Responses of Saturated Poroelastic Rods[J]. Applied Mathematics and Mechanics, 2016, 37(10): 1050-1059. doi: 10.21656/1000-0887.370106
[5]	LIU Xue-mei, DENG Zi-chen, HU Wei-peng. A Multi-Symplectic Method for Dynamic Responses of Incompressible Saturated Poroelastic Rods[J]. Applied Mathematics and Mechanics, 2015, 36(3): 242-251. doi: 10.3879/j.issn.1000-0887.2015.03.002
[6]	DONG Man-sheng, LI Man, LIN Zhi, TANG Fei, JIANG Shu-ping. Dynamic Response of the Submerged Floating Tunnel Under Random Seismic Excitation[J]. Applied Mathematics and Mechanics, 2014, 35(12): 1320-1329. doi: 10.3879/j.issn.1000-0887.2014.12.004
[7]	WANG Xiao-gang, HUANG Yi. 3-D Dynamic Response of Transversely Isotropic Saturated Soils[J]. Applied Mathematics and Mechanics, 2005, 26(11): 1278-1286.
[8]	AN Wei-guang, SUN Ke-lin, CHEN Wei-dong, WANG Bin-sheng, CAI Yin-lin. Optimum Design Based on Reliability in Stochastic Structure Systems[J]. Applied Mathematics and Mechanics, 2005, 26(10): 1175-1182.
[9]	LI Ying-hui, GAO Qing, JIAN Kai-lin, YIN Xue-gang. Dynamic Responses of Viscoelatic Axially Moving Belt[J]. Applied Mathematics and Mechanics, 2003, 24(11): 1191-1196.
[10]	ZHU Zheng-you, LI Gen-guo, CHENG Chang-jun. Quasi-Static and Dynamical Analysis for Viscoelastic Timoshenko Beam With Fractional Derivative Constitutive Relation[J]. Applied Mathematics and Mechanics, 2002, 23(1): 1-10.
[11]	YAN Bo, ZHANG Ru-qing. Penalty Finite Element Method for Nonlinear Dynamic Response of Viscous Fluid-Saturated Biphasic Porous Media[J]. Applied Mathematics and Mechanics, 2000, 21(12): 1247-1254.
[12]	Chen Rongyi, Shen Xiaopu, Shen Pengcheng. Dynamic Response of Elastic RectangularPlates by Spline State Variable Method[J]. Applied Mathematics and Mechanics, 2000, 21(6): 625-632.
[13]	Sun Lu, Deng Xuejun. Dynamic Analysis to Infinite Beam under a Moving Line Load with Uniform Velocity[J]. Applied Mathematics and Mechanics, 1998, 19(4): 341-347.
[14]	Ding Rui, Zhu Zhengyou, Cheng Changjun. Boundary Element Method for Solving Dynamical Response of Viscoelastic Thin Plate(Ⅱ)——Theoretical Analysis[J]. Applied Mathematics and Mechanics, 1998, 19(2): 95-103.
[15]	Ding Rui, Zhu Zhengyou, Cheng Changjun. Boundary Element Method for Solving Dynamical Response of Viscoelastic Thin Plate (Ⅰ)[J]. Applied Mathematics and Mechanics, 1997, 18(3): 211-216.
[16]	Peng Jianshe, Zhang Jingyu, Yang Jie. Formulation of a Semi-Analytical Approach Based on Gurtin Variational Principle for Dynamic Response of General Thin Plates[J]. Applied Mathematics and Mechanics, 1997, 18(11): 987-991.
[17]	Yin Bangxin. Analysis of Dynamic Responce of an impacted Elastic Plate[J]. Applied Mathematics and Mechanics, 1996, 17(7): 639-644.
[18]	Ji Zhen-yi, Yeh Kai-yuan. The General Solution for Dynamic Response of Nonhomogeneous Beam with Variable Cross Section[J]. Applied Mathematics and Mechanics, 1994, 15(5): 381-388.
[19]	Yeh Kai-yuan, Tong Xiao-hua, Ji Zhen-yi. General Analytic Solution of Dynamic Response of Beams with Nonhomogeneity and Variable Cross Section[J]. Applied Mathematics and Mechanics, 1992, 13(9): 753-764.
[20]	Fu Yi-ming, Liu Xiao-hu. Nonlinear Dynamic Response and Dynamic Buckling of Shallow Spherical Shells with Circular Hole[J]. Applied Mathematics and Mechanics, 1992, 13(2): 145-156.