Abstract
Computational mechanics has been so well developed that the computer analysis software is successfully applied to a wide range of problems in science and engineering. In recent years, attempt has been also made to apply the computer analysis software so far developed to the inverse problems including optimum design[1]–[3]. In such an approach, the original inverse problem is modeled as a parameter identification problem in which a suitable cost function of the parameters is minimized by using the standard optimization technique. Accurate and efficient computation of sensitivities with respect to the parameters are required for such optimization through iterative computations. The boundary element method can provide a suitable means for such optimization problems, and several investigations have been already done in this respect[4][5]. Sensitivities can be computed via the finite difference approximation, but they could be computed more accurately via direct differentiation of the boundary integral equations with respect to the parameters. Up to now, such boundary integral equation formulations of sensitivity analysis based on the direct differentiation have been reported on elastostatics[6], steady heat conduction[7] and acoustics[8].
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References
Masa. Tanaka and H.D. Bui (Eds.), Inverse Problems in Engineering Mechanics, Springer-Verlag, (1993).
Kubo, S. (Ed.), Inverse Problems, Atlanta Technology Publications, (1993).
H.D. Bui, Masa. Tanaka et al.(Eds.), Inverse Problems in Engineering Mechanics, A.A. Balkema, (1994).
C.A. Mota Soares, H.C. Rodrigues and K.K. Choi, Shape Optimal Structural Design Using Boundary Elements and Minimum Compliance Techniques, Trans. ASME, J. Mech., Vol.106, (1984), pp.518–523.
J.H. Kane, Shape Optimization Utilizing a Boundary Element Formulation, BETECH 86: Proc. 2nd Boundary Element Technology Conf., Computational Mechanics Publications, (1986), pp.781–803.
T. Matsumoto, Masa. Tanaka and H. Hirata, Design Sensitivity Formulation of Boundary Stress Using Boundary Integral Equation for Displacement Gradients, Boundary Elements XII, Computational Mechanics Publications and Springer-Verlag, (1990), pp.205–214.
T. Matsumoto and Masa. Tanaka, Optimum Design of Cooling Lines in Injection Moulds by Using Boundary Element Design Sensitivity Analysis, Finite Elements in Analysis & Design, Vol. 14, (1993), pp. 177–185.
T. Matsumoto, Masa. Tanaka and Y. Yamada, Design Sensitivity Analysis of Steady-State Acoustic Problems Using Boundary Integral Formulation, Trans. Japan Soc. Mech. Engrs., Ser.C, Vol.59, (1993), pp.430–435.
Masa. Tanaka, V. Sladek and J. Sladek, Regularization Techniques Applied to Boundary Element Methods, Applied Mechanics Reviews, Vol.47, No. 10, (1994), pp.457–499.
R.L. Fox, Optimization Methods for Engineering Design, Addison-Wesley Publishing Co., (1971).
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© 1995 Springer-Verlag Berlin Heidelberg
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Tanaka, M., Nakamura, M., Hanaoka, S. (1995). Sensitivity Analysis of 2-D Elastodynamic Problems through Boundary Integral Equations. In: Atluri, S.N., Yagawa, G., Cruse, T. (eds) Computational Mechanics ’95. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79654-8_503
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DOI: https://doi.org/10.1007/978-3-642-79654-8_503
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