ABSTRACT

This paper presents a method of shift synthesis of compliance transfer function in vibration problem by the use of the finite element sensitivity analysis. The method employed is based on the notion of searching for the aimed design as near the baseline design as possible using a first-order Taylor series expansion of the compliance with respect to design variables. The design change is achieved by using the parameters obtained by the minimization of the squared sum of the design variables under the presence of equality and inequality constraint conditions concerning the compliance shift. The procedures used are the method of indeterminate coefficients for equality constraint condition and multiplier method for inequality constraint condition. An inequality constraint condition is applied for a uncertain compliance shift. The numerical examples are concerned with the two dimentional pipes with Rayleigh damping in which the intensity of support restraints and damping are taken as the design variables. The proposed method is verified for the aimed shift of the compliance.