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Visualizing the Inherent Properties and Animated Responses of Vibrating Systems Based on Finite Element Modelling

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2020 ASEE Virtual Annual Conference Content Access


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Publication Date

June 22, 2020

Start Date

June 22, 2020

End Date

June 26, 2021

Conference Session

Mechanical Engineering Technical Session: Dynamics II - Feel the Vibe

Tagged Division

Mechanical Engineering

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Shengyong Zhang Purdue University Northwest

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Shengyong Zhang ( is an Associate Professor of Mechanical Engineering at the Purdue University Northwest. He has teaching and research interest in the areas of computer modeling and simulation, vibration and acoustics, system dynamics, and automobile lightweight design.

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Visualizing the Inherent Properties and Animated Responses of Vibrating Systems Based on Finite Element Modelling

Abstract Vibration is destructive in most mechanical systems and structures. It causes rapid growth of cracks, leading to fatigue failure of mechanical parts. Manufacturers set performance standards for their products to avoid excessive vibration. Vibration is an important topic in industry and it is necessary for mechanical engineering students to learn how to analyze the vibration responses of vibrating systems subject to various inputs.

Finite Element Analysis (FEA) has been adopted in the teaching of various mechanical engineering courses. This paper documents the development of a series of FE models as a supplement in teaching the engineering vibration course. FE models developed in this paper include single- and multiple-degree-of-freedom (single-DOF and multiple-DOF) systems subject to initial displacement/velocity, harmonic excitation, impulse excitation, and arbitrary force excitation. The FEA visual features enable students to visualize the inherent properties of a vibratory system, such as the changes in the natural frequencies to changes in the inertia, stiffness and dissipation elements, mode shape associated with each natural frequency in a multiple-DOF system. FE animated responses of vibrating systems to different excitations help students understand the characteristics of various responses, such as transient responses and steady-state responses, resonance and damping effect on the responses excited by harmonic forces. As an application, an airplane has been modelled by using a three-DOF system (fuselage and two wings) in this paper for studying its inherent properties and vibration responses to various inputs.

Zhang, S. (2020, June), Visualizing the Inherent Properties and Animated Responses of Vibrating Systems Based on Finite Element Modelling Paper presented at 2020 ASEE Virtual Annual Conference Content Access, Virtual On line . 10.18260/1-2--35490

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