Topological Design for Minimum Dynamic Compliance of Structures under Forced Vibration

This paper deals with topology optimization of elastic, continuum structures without damping that are subjected to time-harmonic, dynamic loading with prescribed excitation frequency and amplitude. An important objective of such a design problem is often to drive the eigenfrequencies of the structure as far away as possible from the excitation frequency in order to avoid resonance and reduce the vibration level of the structure. The total structural volume, the boundary conditions, and the material are given.

[1]  Niels Olhoff,et al.  Regularized formulation for optimal design of axisymmetric plates , 1982 .

[2]  K. Svanberg.  The method of moving asymptotes—a new method for structural optimization , 1987 .

[3]  D. Tortorelli,et al.  Design sensitivity analysis: Overview and review , 1994 .

[4]  N. Kikuchi,et al.  Topological design for vibrating structures , 1995 .

[5]  Noboru Kikuchi,et al.  Optimal topology design of structures under dynamic loads , 1999 .

[6]  Niels Olhoff,et al.  Topology Optimization with Design Dependent Loads , 2000 .

[7]  N. Olhoff,et al.  Topology optimization of continuum structures subjected to pressure loading , 2000 .

[8]  C. Jog.  Topology design of structures subjected to periodic loading , 2002 .

[9]  Dmitri Tcherniak,et al.  Topology optimization of resonating structures using SIMP method , 2002 .

[10]  N. Olhoff,et al.  Topological optimization of continuum structures with design-dependent surface loading – Part II: algorithm and examples for 3D problems , 2004 .

[11]  N. Olhoff,et al.  Topological optimization of continuum structures with design-dependent surface loading – Part I: new computational approach for 2D problems , 2004 .

[12]  Gyung-Jin Park,et al.  A review of optimization of structures subjected to transient loads , 2006 .

[13]  G. Yoon.  Structural topology optimization for frequency response problem using model reduction schemes , 2010 .

[14]  M. Wang,et al.  Level Set Based Structural Topology Optimization for Minimizing Frequency Response , 2011 .

[15]  G. Cheng,et al.  On topology optimization of damping layer in shell structures under harmonic excitations , 2012 .

[16]  Yueming Li,et al.  Topology optimization to minimize the dynamic compliance of a bi-material plate in a thermal environment , 2013 .

[17]  Niels Olhoff,et al.  Introductory Notes on Topological Design Optimization of Vibrating Continuum Structures , 2014 .