首页|A symmetric substructuring method for analyzing the natural frequencies of conical origami structures

A symmetric substructuring method for analyzing the natural frequencies of conical origami structures

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Conical origami structures are characterized by their substantial out-of-plane stiffness and energy-absorption capacity.Previous investigations have commonly focused on the static characteristics of these lightweight struc-tures.However,the efficient analysis of the natural vibrations of these structures is pivotal for designing conical origami structures with programmable stiffness and mass.In this paper,we propose a novel method to analyze the natural vibrations of such structures by combining a symmetric substructuring method(SSM)and a gener-alized eigenvalue analysis.SSM exploits the inherent symmetry of the structure to decompose it into a finite set of repetitive substructures.In doing so,we reduce the dimensions of matrices and improve computational efficiency by adopting the stiffness and mass matrices of the substructures in the generalized eigenvalue analysis.Finite element simulations of pin-jointed models are used to validate the computational results of the proposed approach.Moreover,the parametric analysis of the structures demonstrates the influences of the number of seg-ments along the circumference and the radius of the cone on the structural mass and natural frequencies of the structures.Furthermore,we present a comparison between six-fold and four-fold conical origami structures and discuss the influence of various geometric parameters on their natural frequencies.This study provides a strategy for efficiently analyzing the natural vibration of symmetric origami structures and has the potential to contribute to the efficient design and customization of origami metastructures with programmable stiffness.

Natural structural vibrationOrigami designGroup theorySymmetric substructuring method(SSM)Generalized eigenvalue analysis

Chenhao Lu、Yao Chen、Weiying Fan、Jian Feng、Pooya Sareh

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Key Laboratory of Concrete and Prestressed Concrete Structures of Ministry of Education,and National Prestress Engineering Research Center,Southeast University,Nanjing 211189,China

School of Engineering,University of Liverpool,Liverpool L69 3BX,United Kingdom

Creative Design Engineering Lab(Cdel),School of Engineering,Newcastle University,Newcastle upon Tyne NE1 7RU,United Kingdom

Escuela Técnica Superior de Ingeniería y Diseño Industrial,Universidad Politécnica de Madrid(UPM),Madrid 28012,Spain

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National Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaPostgraduate Research&Practice Innovation Program of Jiangsu ProvinceFundamental Research Funds for the Central Universities

5197815052050410334SJCX23_0069

2024

力学快报(英文)

力学快报(英文)

影响因子:0.163
ISSN:2095-0349
年,卷(期):2024.14(3)
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