Recent development in structural design and optimization

Abstract

With the fast development of computational mechanics and the capacity as well as the speed of modern computers, simulation-based structural optimization has become an indispensable tool in the design process of competitive products. This paper presents a brief description of the current status of structural optimization by reviewing some significant progress made in the last decades. Potential research topics are also discussed. The entire literatures of the field are not covered due to the limitation of the length of paper. The scope of this review is limited and closely related to the authors' own research interests.

A MAC based excitation frequency increasing method for structural topology optimization under harmonic excitations

“…Since the mass matrix and stiffness matrix are symmetric, the second part equals zero according to equation (3). Thus, we can obtain the sensitivity of eigenfrequency:…”

“…Up to now, topology optimization has received remarkable success in both theoretical studies and practical applications [2][3][4], where topology optimization of continuum structures under dynamic loading is one challenge. Correlative researches in the field were mainly focused on two types of problems: one is topology optimization related to dynamic characteristics, the other is related to dynamic responses.…”

Doing Topology Optimization Explicitly and Geometrically—A New Moving Morphable Components Based Framework

“…Many approaches have been proposed for structural topology optimization and it now has been extended to a wide range of physical disciplines such as acoustics, electromagnetics and optics. We refer the readers to [2][3][4][5] and the references therein for a state-of-the-art review of topology optimization.…”

Backbone cup – a structure design competition based on topology optimization and 3D printing

“…The latter researches proposed the solid isotropic material with penalization (SIMP) method [3][4][5] which made it possible to gain practical structure design through topology optimization, the ESO method [6], and the level set method [7], etc. For recent advances of topology optimization, the readers are referred to the literature surveys of Deaton and Grandhi [8], Guo and Cheng [9]. Meanwhile, structural topology optimization has been used widely in automobiles [10], buildings [11], and aircrafts [12] to gain a structure design with the best mechanical performance.…”