DESIGN SENSITIVITY ANALYSIS OF NONLINEAR DYNAMIC-RESPONSE OF STRUCTURAL AND MECHANICAL SYSTEMS

被引：24

作者：

CARDOSO, JB

ARORA, JS

机构：

[1] Instituto Superior Técnico, Departamento de Engenharia Mecânica, Universidade Técnica de Lisboa, Lisbon

[2] Optimal Design Laboratory, College of Engineering, The University of Iowa, Iowa City, 52242, IA

来源：

STRUCTURAL OPTIMIZATION | 1992年 / 4卷 / 01期

关键词：

D O I：

10.1007/BF01894079

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper describes a unified variational theory for design sensitivity analysis of nonlinear dynamic response of structural and mechanical systems for shape, nonshape, material and mechanical properties selection, as well as control problems. The concept of an adjoint system, the principle of virtual work and a Lagrangian-Eulerian formulation to describe the deformations and the design variations are used to develop a unified view point. A general formula for design sensitivity analysis is derived and interpreted for usual performance functionals. Analytical examples are utilized to demonstrate the use of the theory and give insights for application to more complex problems that must be treated numerically.

引用

页码：37 / 46

页数：10

共 20 条

[1]

Adelman H.M., Haftka R.T., Sensitivity analysis of discrete structural systems, AIAA J., 24, pp. 823-832, (1986)

[2]

Adelman H., Sensitivity analysis in engineering. Proc. NASA Symp., (1986)

[3]

Arora J.S., Introduction to optimum design, (1989)

[4]

Arora J.S., Cardoso J.B., A design analysis principle and its implementation into ADINA, Comput. Struct., 32, pp. 691-705, (1989)

[5]

Arora J.S., Haug E.J., Methods of design sensitivity analysis in structural optimization, AIAA J., 17, pp. 970-974, (1979)

[6]

Belegundu A.D., Lagrangian approach to design analysis, J. Eng. Mech. Div. ASCE, 111, pp. 680-695, (1985)

[7]

Bryson A.E., Ho Y.C., Applied optimal control, (1975)

[8]

Cardoso J.B., Arora J.S., Variational method for design sensitivity analysis in nonlinear structural mechanics, AIAA J., 26, pp. 595-603, (1988)

[9]

Cardoso J.B., Arora J.S., Lagrangian interpretation of nonlinear design sensitivity analysis with continuum formulation, Technical report No. ODL-88.6, (1988)

[10]

De K., oz Z., Variational approach by means of adjoint systems to structural optimization and sensitivity analysis. II: structure shape variation, Int. J. Solids and Struct., 6, pp. 527-552, (1984)

← 1 2 →