Vol. 3, No. 4, 2008

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A finite element for dynamic analysis of a cylindrical isotropic helical spring

Mohamed Taktak, Fakhreddine Dammak, Said Abid and Mohamed Haddar

Vol. 3 (2008), No. 4, 641–658
Abstract

This paper presents a finite element for the dynamic analysis of the cylindrical isotropic helical spring. The hybrid-mixed formulation is used to compute the stiffness matrix. A simple approach is used to calculate the mass matrix. These matrices are used for solving the dynamic equation of the spring to calculate natural frequencies and the dynamic response of a simple or an assembled spring for different types of cross-section.

Keywords
helical spring, hybrid mixed formulation, natural frequencies, dynamic response
Milestones
Received: 17 April 2007
Accepted: 30 November 2007
Published: 1 June 2008
Authors
Mohamed Taktak
Unit of Mechanics
Modelling and Manufacturing
Mechanical Engineering Department
National School of Engineers of Sfax
BP. W-3038 Sfax
Tunisia
Fakhreddine Dammak
Unit of Mechanics
Modelling and Manufacturing
Mechanical Engineering Department
National School of Engineers of Sfax
BP. W-3038 Sfax
Tunisia
Said Abid
Unit of Mechanics
Modelling and Manufacturing
Mechanical Engineering Department
National School of Engineers of Sfax
BP. W-3038 Sfax
Tunisia
Mohamed Haddar
Unit of Mechanics
Modelling and Manufacturing
Mechanical Engineering Department
National School of Engineers of Sfax
BP. W-3038 Sfax
Tunisia