Showing papers by "Qi Xia published in 2018"
TL;DR: A comprehensive review on the development of evolutionary structural optimization (ESO) type methods, in particular the latest convergent and mesh-independent BESO method is highlighted by Huang and Xie as mentioned in this paper.
Abstract: The evolutionary structural optimization (ESO) method developed by Xie and Steven (Comput Struct 49(5):885–896, 162), an important branch of topology optimization, has undergone tremendous development over the past decades. Among all its variants, the convergent and mesh-independent bi-directional evolutionary structural optimization (BESO) method developed by Huang and Xie (Finite Elem Anal Des 43(14):1039–1049, 48) allowing both material removal and addition, has become a widely adopted design methodology for both academic research and engineering applications because of its efficiency and robustness. This paper intends to present a comprehensive review on the development of ESO-type methods, in particular the latest convergent and mesh-independent BESO method is highlighted. Recent applications of the BESO method to the design of advanced structures and materials are summarized. Compact Malab codes using the BESO method for benchmark structural and material microstructural designs are also provided.
217 citations
TL;DR: This work proposes an evolutionary topology optimization method for stress minimization design using the bi-directional evolutionary structural optimization (BESO) method, which has been shown efficient, practical and easy-to-implement through a series of 2D and 3D benchmark designs.
110 citations
TL;DR: The optimal design problem of heat conduction is solved by combining the level set method and the bi-directional evolutionary optimization (BESO) method, and hole is nucleated by using the material removal scheme.
43 citations
TL;DR: A guideline for the selection of parameters that affect efficiency of the optimization at all the levels is proposed because it is meaningful to seek an accurate solution at the finest level.
29 citations
TL;DR: In this paper, the problem of designing a thermal actuator is formulated as a topology optimization problem and the optimization problem is solved by using a level set based multiple-type boundary method.
Abstract: Thermal actuator uses thermal expansion of an elastic body to produce motion at its output port. It needs to accumulate and amplify small local thermal expansion to ensure its output displacement is large enough. Also, its support should constrain the thermal expansion in irrelevant directions and steer the output displacement to a required direction. In the present paper, the task of designing a thermal actuator is formulated as a topology optimization problem. The design variables include two types of boundaries: the free boundary and the Dirichlet boundary. The optimization problem is solved by using a level set based multiple---type boundary method. Two level set functions are used to represent a thermal actuator and its two types of boundaries. Evolution of the two boundaries is modeled by two independent Hamilton---Jacobi equations. In order to analyze the shape derivatives of the two boundaries, the constrained variational principle is employed to explicitly include the Dirichlet boundary condition into the weak form equation of linear thermoelasticity. Numerical examples in two dimensions are investigated.
16 citations
TL;DR: For simultaneously measuring specimen's surface morphology and material properties, multifrequency atomic force microscopy is often employed as mentioned in this paper, where the probe's probe's position is determined by the atomic force of the sample.
Abstract: For simultaneously measuring specimen’s surface morphology and material properties, multifrequency atomic force microscopy is often employed. In this kind of atomic force microscopy, if the probe’s...
3 citations
01 Feb 2018-Microsystem Technologies-micro-and Nanosystems-information Storage and Processing Systems
TL;DR: In this paper, a structural optimization problem is formulated to ensure the mode shape of probe match a user-specified target shape and the corresponding resonant frequency is maximized Similarity between the actual mode shape and target is characterized by modal assurance criterion Users can freely select which vibration mode is to be optimized.
Abstract: To enhance the measurement performance of tapping-mode atomic force microscopy (TM-AFM), it is highly desirable that the TM-AFM probe has high resonant frequency and large effective slope at its free end However, the two design objectives may lead to conflict requirements on the geometry of probe Conventional design approaches that involve a lot of trials and errors are not so effective to solve such a complex design problem Therefore, in order to address this difficulty, a structural optimization problem is formulated The objective of optimization is to ensure the mode shape of probe match a user-specified target shape and the corresponding resonant frequency is maximized Similarity between the actual mode shape and the target is characterized by modal assurance criterion Users can freely select which vibration mode is to be optimized A three-layer geometry model is used to represent cantilever probes The middle layer is not subject to optimization The top and bottom layers have the same width profile, and it is iteratively changed during the optimization The optimization problem is solved through a gradient based method Examples of design optimization show that the proposed method is effective
3 citations