Optimal design of laminated plate for minimizing frequency response based on discrete material model and mode reduction method

This paper builds an integrated optimization model for the laminated plate to suppress the structural frequency response in a given frequency band, where the objective is to minimize the dynamic compliance of the structure excited by an external sinusoidal mechanical load with given amplitude and fr...

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Bibliographic Details
Published in:Engineering with computers Vol. 38; no. Suppl 4; pp. 2919 - 2951
Main Authors: Ding, Haoqing, Xu, Bin, Duan, Zunyi, Meng, Qingxuan
Format: Journal Article
Language:English
Published: London Springer London 01.10.2022
Springer Nature B.V
Subjects:
Accuracy
Asymptotes
CAE) and Design
Calculus of Variations and Optimal Control; Optimization
Classical Mechanics
Computer Science
Computer-Aided Engineering (CAD
Control
Damping
Dynamic response
Fiber orientation
Finite element method
Frequencies
Frequency analysis
Frequency ranges
Frequency response
Isotropic material
Iterative methods
Math. Applications in Chemistry
Mathematical and Computational Engineering
Optimization
Optimization models
Original Article
Reduction
Sensitivity analysis
Shear deformation
Systems Theory
Frequency response minimization
Laminated plate
Decoupled sensitivity analysis
Mode reduction method
Discrete material optimization
ISSN:0177-0667, 1435-5663
Online Access:Get full text
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Summary:This paper builds an integrated optimization model for the laminated plate to suppress the structural frequency response in a given frequency band, where the objective is to minimize the dynamic compliance of the structure excited by an external sinusoidal mechanical load with given amplitude and frequency range. The dynamic response analysis of the laminated structure is performed via a finite element model based on the first-order shear deformation theory. Therein, the Heaviside penalization of the discrete material optimization method and the solid isotropic material with penalization scheme are separately employed to optimize the fiber orientation and the layout of the damping material. Meanwhile, mode reduction method and a decoupled sensitivity analysis are incorporated for efficient frequency and sensitivity analysis to reduce the heavy computational burden from many frequency steps in each iteration, a large number of freedom degrees and plenty of design variables as well as maintain high accuracy. And the method of moving asymptotes is used to solve the optimization problem. And three numerical examples including the efficiency and accuracy demonstration, single load and multi-load case with separate and integrated optimization are presented to verify the validity and advantage of the proposed model.
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ISSN:0177-0667
1435-5663
DOI:10.1007/s00366-021-01428-1