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Softening 하중-변위 곡선을 고려한 충격저감기의 위상최적설계
국정환(Junghwan Kook),왕세명(Semyung Wang) 대한기계학회 2009 대한기계학회 춘추학술대회 Vol.2009 No.5
This paper describes the use of topology optimization as a tool for the design of shock isolator for softening Load-Displacement behavior. The objective function is maximization of softening Load-Displacement behavior by controlling internal energy in displacement loaded structures. The geometrically nonlinear behavior of the shock isolator is modeled using total Lagrangian finite element formulation and equilibrium is found using a Newton-Raphson iterative scheme. The sensitivities in topology optimization are employed with the adjoint variable method(AVM) and the optimization problem is solved using the Sequential Linear Programming. Since the internal energy of displacement loaded system is used for the objective function, the design sensitivity number is easily derived in term of element strain energy. A cone-type disc spring model is presented to demonstrate the capability and effectiveness of the proposed method.
Padé 근사법을 이용한 Zwicker 라우드니스의 계산과 최적화
국정환(Junghwan Kook),Jakob S. Jensen,왕세명(Semyung Wang) 한국소음진동공학회 2011 한국소음진동공학회 학술대회논문집 Vol.2011 No.10
The calculation of Zwicker’s loudness which is needed for multiple frequency response with a fine frequency resolution using the finite element (FE) procedure usually requires significant computation time since a numerical solution must be obtained for each considered frequency. Furthermore, if the analysis is the basis for an iterative optimization procedure this approach imposes high computational cost. In this work, we present an efficient approach for obtaining Zwicker’s loudness via the Pade approximants and applying in an acoustical topology optimization procedure. The paper is focused on an efficient and accurate calculation of Zwickers loudness, design sensitivity analysis, and the acoustical topology optimization method by using Pade approximants. The paper compares the efficient algorithm to results obtained by a standard FEM. Comparison are made both in terms of accuracy and in terms of CPU-times needed for the calculation.
Padé 근사법을 이용한 Zwicker 라우드니스의 계산과 음향 위상 최적화
국정환(Junghwan Kook),Jakob S. Jensen,왕세명(Semyung Wang) 대한기계학회 2011 대한기계학회 춘추학술대회 Vol.2011 No.10
The calculation of Zwicker’s loudness which is needed for multiple frequency response with a fine frequency resolution using the finite element (FE) procedure usually requires significant computation time since a numerical solution must be obtained for each considered frequency. Furthermore, if the analysis is the basis for an iterative optimization procedure this approach imposes high computational cost. In this work, we present an efficient approach for obtaining Zwicker’s loudness via the Pade approximants and applying in an acoustical topology optimization procedure. The paper is focused on an efficient and accurate calculation of Zwickers loudness, design sensitivity analysis, and the acoustical topology optimization method by using Pade approximants. The paper compares the efficient algorithm to results obtained by a standard FEM. Comparison are made both in terms of accuracy and in terms of CPU-times needed for the calculation.