LOAD SENSITIVITY ANALYSES OF ELASTIC STRUCTURES BY DIFFERENTIAL AND BOUNDARY INTEGRAL-EQUATION FORMULATIONS

被引:1
作者
MERIC, RA
SAIGAL, S
机构
[1] Department of Mechanical Engineering, Worcester Polytechnic Institute, Worcester, 10609, MA
[2] Department of Civil Engineering, Carnegie-Mellon University, Pittsburgh, 15213, PA
来源
STRUCTURAL OPTIMIZATION | 1991年 / 3卷 / 04期
关键词
D O I
10.1007/BF01744058
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
A direct unification of the boundary integral equations (BIE) of elasticity and load sensitivity analysis procedures is proposed in a novel approach. In the so-called BIE formulation, it is found that more than one type of adjoint functions are necessary, which are defined by different integral equations at complementary points of the structural boundary. The presence of double volume/surface integrals and the switching of the source and field points in the fundamental solutions are further interesting characteristics of the proposed formulation. An analytical example is solved by using the standard differential equation formulation, as well as the new BIE formulation of load sensitivity analysis.
引用
收藏
页码:240 / 246
页数:7
相关论文
共 12 条
[1]  
Banerjee P.K., Butterfield R., Boundary element methods in engineering science, (1981)
[2]  
Brebbia C.A., Telles J.C.F., Wrobel L.C., Boundary element techniques: theory and applications in engineering, (1984)
[3]  
Carrera J., Neuman S.P., Estimation of aquifer parameters under transient and steady state conditions: 2. Uniqueness, stability and solution algorithms, Water Resources Research, 22, pp. 211-227, (1986)
[4]  
De K., oz Z., Variational approach to sensitivity analysis in thermoelasticity, J. Thermal Stresses, 10, pp. 283-306, (1987)
[5]  
Dogru A., Seinfeld J., Comparison of sensitivity coefficient calculation methods in automatic history matching, Soc. Petroleum Engrg. J., 21, pp. 551-557, (1981)
[6]  
Haug E.J., Choi K.K., Komkow V., Design sensitivity analysis of structural systems, (1986)
[7]  
Meric R.A., Boundary elements for static optimal heating of solids, Trans. ASME J. Heat Transfer, 106, pp. 876-880, (1984)
[8]  
Meric R.A., Optimal boundary tractions for solids with initial strains, Trans. ASME J. Appl. Mech., 52, pp. 363-367, (1985)
[9]  
Meric R.A., Optimal loading of solids by the boundary element method, Int. J. Engrg. Sci., 23, pp. 1101-1111, (1985)
[10]  
Meric R.A., Material and load optimization by the adjoint variable method, Trans. ASME J. Heat Transfer, 109, pp. 782-784, (1987)