Extending Timoshenko Beam Theory for Large Deflections in Compliant Mechanisms

Wu, Ke; Zheng, Gang; Chen, Guimin

Type de document :

Article dans une revue scientifique: Article original

DOI :

10.1115/1.4056501

Titre :

Extending Timoshenko Beam Theory for Large Deflections in Compliant Mechanisms

Auteur(s) :

Wu, Ke [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Deformable Robots Simulation Team [DEFROST ]
Zheng, Gang [Auteur]

Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Deformable Robots Simulation Team [DEFROST ]
Chen, Guimin [Auteur]
Xi'an Jiaotong University [Xjtu]

Titre de la revue :

Journal of Mechanisms and Robotics

Pagination :

061012

Éditeur :

American Society of Mechanical Engineers

Date de publication :

2023

ISSN :

1942-4302

Discipline(s) HAL :

Informatique [cs]/Robotique [cs.RO]

Résumé en anglais : [en]

Compliant Mechanisms (CMs) have presented its inherently advantageous properties due to the fact that CMs utilize elastic deformation of the elementary flexible members to transfer motion, force and energy. Previously, the ...
Lire la suite >Compliant Mechanisms (CMs) have presented its inherently advantageous properties due to the fact that CMs utilize elastic deformation of the elementary flexible members to transfer motion, force and energy. Previously, the classic Euler-Bernoulli beam theory is the most used theory in terms of modeling large beam deflections in CMs. However, it has some assumptions that may decrease the modeling accuracy, such as ignoring the shear strain and the axial strain of cross sections. In this paper, to take into account the shear and axial strains, we adopt Timoshenko beam theory along with some modifications to consider the axial elongation. To simplify the complexity of the proposed governing boundary value problem (BVP), we transform the BVP into an explicit formulation and use weighted residual methods to numerically approximate the solution. We first focus on the singlebeam deflection of a straight beam and an initially curved beam (ICB) using Euler Bernoulli beam theory, Timoshenko beam theory and solid mechanics to analyze the contributions of the influences of shear and axial strains in beam deflections. Then, we prove the feasibility of the proposed modeling strategy via mechanism synthesis for a bi-stable mechanism and an ICB-based parallelogram mechanism. Finally, the deduction of the mathematical model and the numerical results are provided along with brief analysis on the mechanical performances of the studied CMs.Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Collections :

Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189

Source :

Harvested from HAL

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