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Topology Optimization for harmonic excitation Structures with Minimum Length Scale Control Using the Discrete Variable Method

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Computer Modeling in Engineering & Sciences 2023年第6期135卷 1941-1964页

作者： Hongliang Liu Peijin Wang Yuan Liang Kai Long Dixiong Yang Key Laboratory of Liaoning Province for Composite Structural Analysis of Aerocraft and Simulation College of Aerospace EngineeringShenyang Aerospace UniversityShenyang110136China State Key Laboratory of Structural Analysis for Industrial Equipment Department of Engineering MechanicsDalian University of TechnologyDalian116023China State Key Laboratory for Alternate Electrical Power System with Renewable Energy Sources North China Electric Power UniversityBeijing102206China

Continuumtopology optimization considering the vibration response is of great value in the engineering structure *** aimof this studyis toaddress the topological designoptimizationof harmonic excitationstructureswith minimumlength scale control to facilitate *** topology design based on discrete variables is proposed to avoid localized vibration modes,gray regions and fuzzy boundaries in harmonic excitation topology *** topological design model and sensitivity formulation are *** requirement of minimum size control is transformed into a geometric constraint using the discrete ***,thin bars,small holes,and sharp corners,which are not conducive to the manufacturing process,can be eliminated from the design *** present optimization design can efficiently achieve a 0–1 topology configuration with a significantly improved resonance frequency in a wide range of excitation ***,the optimal solution for harmonic excitation topology optimization is not necessarily symmetric when the load and support are symmetric,which is a distinct difference fromthe static optimization ***,one-half of the design domain cannot be selected according to the load and support *** examples are presented to demonstrate the effectiveness of the discrete variable design for excitation frequency topology optimization,and to improve the design manufacturability.

关键词： Discrete variable topology optimization harmonic excitation minimumlength scale control geometric constraint manufacturability

Vibration Analysis of a Pipe Conveying Fluid Under harmonic excitation

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International Journal of Plant Engineering and Management 2010年第1期15卷 36-41页

作者： GOU Bing-wang LIU Yong-shou SHAO Xiao-jun YUE Zhu-feng Department of Engineering Mechanics Northwestern Polytechnical University Xi'an 710072 P. R. China Northwest Institute of Mechanical & Electrical Engineering Xianyang 712099 P.R. China

In this paper, using Hamilton principle, the control equation of fluid-structure interaction vibration of a pipe conveying fluid under simple harmonic excitation was established and a novel method, Galerkin-Modality＇ s method was proposed to solve this equation. The influence of the damp, the flow velocity, the pressure and the length of the pipe supported by simple supports on the piping＇ s first two natural frequencies was discussed. The criti- cal pressure and the critical length of the pipe were obtained. The influence of the flow velocity and pressure on the piping＇s maximal relative displacements were analyzed.

关键词： harmonic excitation fluid-structure interaction Galerkin-Modality's method natural frequency

Stability and Chaotic Vibrations of a Pipe Conveying Fluid under harmonic excitation

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Advances in Manufacturing 2000年第3期4卷 179-185页

作者： Guang-sheng Zou Ji-duo Jin Ying Han Department of Mechanics Shenyang Institute of Aeronautical Engineering Shenyang 110034 China

The stability and chaotic vibrations of a pipe conveying fluid with both ends fixed, excited by the harmonic motion of its supporting base in a direction normal to the pipe span, were investigated with the aid of modern numerical techniques,involving the phase portrait,Lyapunov exponent and Poincare map tc. The nonlinear differential equations of motion of the system were derived by considering the additional axial force due to the lateral motion of the pipe. Attention was concentrated on the effect of forcing frequency and flow velocity on the dynamics of the system. It is shown that chaotic motions can occur in this system in a certain region of parameter space,and it is also found that three types of routes to chaos exist in the system:(i)period doubling bifurcations;(ii)quasi periodic motions;and (iii)intermittent chaos.

关键词： pipe conveying fluid chaos stability harmonic excitation

Simultaneous optimization of structure together with attached tuned mass dampers considering dynamic performance

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Chinese Journal of Aeronautics 2022年第2期35卷 128-140页

作者： Lei SHEN Xiaohong DING Tiannan HU Min XIONG Heng ZHANG School of Mechanical Engineering University of Shanghai for Science and TechnologyShanghai 200093China

Tuned Mass Dampers(TMDs)are often attached to a main structure to reduce vibration,and the TMDs’positions are important to affect the structural dynamic ***,the TMDs’positions and the material layout of the structure act on each *** paper suggests a design optimization method by combining the topology optimization of the main structure and the layout of the attached TMDs under harmonic *** main structure with the attached TMDs are modeled by the continuum FEA method to consider the change of TMDs’*** they are optimized simultaneously by introducing a multi-level optimization frame,which includes the structural topology optimization and the optimal tuning of *** locations and damping parameters of TMDs are optimized in every step of the SIMP-based topology optimization of the main structure,so as to fully consider the interactions between each other to improve the dynamic *** examples of cantilever structures are studied,and the results show that when the main structure and TMDs are optimized simultaneously,the modal strain energy is more concentrated compared with that obtained by the non-simultaneous optimization ***,the dynamic compliance of the target mode is dramatically reduced.

关键词： Dynamic performance harmonic excitation Topology optimization Tuned mass damper Tuning optimization

Sparse identification method of extracting hybrid energy harvesting system from observed data

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Chinese Physics B 2022年第12期31卷 28-39页

作者： Ya-Hui Sun Yuan-Hui Zeng Yong-Ge Yang School of Mathematics and Statistics Guangdong University of TechnologyGuangzhou 510520China State Key Laboratory for Strength and Vibration of Mechanical Structures Xi’an Jiaotong UniversityXi’an 710049China

Hybrid energy harvesters under external excitation have complex dynamical behavior and the superiority of promoting energy harvesting ***,it is difficult to model the governing equations of the hybrid energy harvesting system precisely,especially under external *** with machine learning,data-driven methods play an important role in discovering the governing equations from massive ***,there are many studies of datadriven models done in aspect of ordinary differential equations and stochastic differential equations(SDEs).However,few studies discover the governing equations for the hybrid energy harvesting system under harmonic excitation and Gaussian white noise(GWN).Thus,in this paper,a data-driven approach,with least square and sparse constraint,is devised to discover the governing equations of the systems from observed ***,the algorithm processing and pseudo code are ***,the effectiveness and accuracy of the method are verified by taking two examples with harmonic excitation and GWN,*** harmonic excitation,all coefficients of the system can be simultaneously *** GWN,we approximate the drift term and diffusion term by using the Kramers-Moyal formulas,and separately learn the coefficients of the drift term and diffusion ***-validation(CV)and mean-square error(MSE)are utilized to obtain the optimal number of ***,the comparisons between true values and learned values are depicted to demonstrate that the approach is well utilized to obtain the governing equations for the hybrid energy harvester under harmonic excitation and GWN.

关键词： data-driven hybrid energy harvester harmonic excitation Gaussian white noise