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Abstract. The goal of this paper is to find a computationally tractable formulation of the optimum truss design problem involving a constraint on the global stability of the structure. The stability constraint is based on the linear buckling phenomenon. We formulate the problem as a nonconvex semidefinite programming problem and briefly discuss an interior point technique for the numerical solution...
Abstract. In the solution of sensitivity equations of transient heat conduction, conventional methods may cause great numerical oscillations in results. This paper proposes a new algorithm to solve the sensitivity equations of linear and nonlinear transient heat conduction problems with Precise Time Integration (PTI), a new numerical scheme for ordinary differential equations. The PTI method has many...
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