Question 2 (10 marks): A topology optimization problem to improve stiffness of a mechanical structure is shown in Fig 2.

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Question 2 10 Marks A Topology Optimization Problem To Improve Stiffness Of A Mechanical Structure Is Shown In Fig 2 1 (436.41 KiB) Viewed 17 times

Question 2 (10 marks): A topology optimization problem to improve stiffness of a mechanical structure is shown in Fig 2. The objective function C is assumed to minimize structural strain energy (or compliance), and the constraint V is the allowable material to be used in the design domain. (1) Please describe the flowchart as well as the main steps involved in the numerical implementation of the topological design optimization based on the finite element analysis. (2) We assume the objective function C={UT}[K]{U}, where {U} is the vector consisting of nodal displacements, and [K] is global stiffness matrix with variable material. If [K]=\)'[Ko], where p is the regularized element densities (design variables), and [K] is global stiffness matrix with full solid material. What are the sensitivities (first-order derivatives) for C with respect to the design variables? Fig 2. Example of a topologically optimised design for a supporting structure