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The Cartesian Transformation Method (CTM) was proposed by Khosravifard and Hematiyan [1] for numerical integration in meshfree analysis. The main idea is to transform a domain integral into a double integral. Let us take a 2D integral as an example $ I = \int_{\Omega} F(x,y) d\Omega$, where F(x,y) is an arbitrary function being defined in … Read more
Title in Vietnamese: Tối ưu topology cho tấm chịu uốn sử dụng lý thuyết tấm Reissner-Mindlin Author: Nguyễn Anh Mỹ Thesis defended in 07/2021, at Ho Chi Minh city University of Technology. This thesis focuses on multi-material topology optimization of Reissner-Mindlin plates. For finite element analysis, the locking-free three-node discrete shear gap element (DSG3) is … Read more
Title in Vietnamese: Tối ưu topology và ứng dụng trong thiết kế bánh răng trụ răng thẳng Author: Võ Thanh Bình Thesis defended in 07/2021, at Ho Chi Minh city University of Technology. This thesis focuses on application of optimization in design of spur gear. The shape of the gear is determined based on the … Read more
Topology optimization is finding the optimum material layout that satisfies some pre-defined requirement, e.g.: Compliance problem: Minimization of strain energy (equivalent to maximizing the stiffness of the structure), given volume constraint; or Stress-constrained problem: Minimization of weight without exceeding stress limit at any points. Material design: Maximization (or minimization) of a specified homogenized property, even … Read more