Vibration Analysis Projects of Lumped-Parameter and Distributed-Parameter Systems

Shengyong Zhang

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Conference: 2022 ASEE Annual Conference & Exposition
Location: Minneapolis, MN
Publication Date: August 23, 2022
Start Date: June 26, 2022
End Date: June 29, 2022
Conference Session: Mechanical Engineering: Assorted Topics
Page Count: 8
DOI: 10.18260/1-2--40491
Permanent URL: https://peer.asee.org/40491
Download Count: 577

Paper Authors

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Shengyong Zhang Purdue University Northwest

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Shengyong Zhang (syzhang@pnw.edu) 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, automobile lightweight design, and engineering education.

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Abstract

Vibration is prevalent in all machines and often detrimental to their performance. It is believed that vibration in many cases is a limiting factor in machine designs. Knowledge about vibration is desired for mechanical engineers to analyze, measure and control the harmful effects upon machine performance. The introductory engineering vibration course offered to mechanical engineering students at the XXX University covers the vibration analysis on both lumped-parameter systems (single- and multiple-degree-of-freedom systems) and distributed-parameter systems (bars, beams, etc.). Students learn the fundamental vibration theories on how to model a vibrating system with system equations and analyze the responses of the system subject to various excitations.

Employing vibration analysis projects in teaching the engineering vibration course helps students develop critical thinking and problem-solving skills. Combined with hands-on projects, FEA has been used as a supplement in the teaching of mechanical vibration for decades. Integrating appropriate FEA-based projects in teaching is an efficient way to assist students in the learning of engineering vibration. Animations from FEA enable students to visualizing the phenomena of vibrations and enhancing their comprehension of concepts and theories.

This paper documents an effort of integrating two FEA-based projects in the mechanical vibration course. The first project makes use of the quarter-car model to simulate the behavior of vehicle suspension systems. The main function of a suspension provides the necessary ride isolation and can be simulated by using a lumped-parameter system with mass, spring and damper elements. In this project, students build FEA models and simulate the vibration responses of a suspension to harmonic excitation in the frequency domain and to impulsive excitation in the time domain. Furthermore, students investigate the variations of vibrating responses to changes in the parameters of shock absorbers. The second project carries out the vibration analysis of an airplane wing which is simulated by using a distributed-parameter system. In this project, students build parametric wing CAD models in which the wing length, root chord length and tip chord length are defined as design variables. Corresponding vibration modal characteristics of the resulting wing models are investigated in the subsequent FEA-based vibration analysis.

Citation
Format

Zhang, S. (2022, August), Vibration Analysis Projects of Lumped-Parameter and Distributed-Parameter Systems Paper presented at 2022 ASEE Annual Conference & Exposition, Minneapolis, MN. 10.18260/1-2--40491

TY - CPAPER
AB - Vibration is prevalent in all machines and often detrimental to their performance. It is believed that vibration in many cases is a limiting factor in machine designs. Knowledge about vibration is desired for mechanical engineers to analyze, measure and control the harmful effects upon machine performance. The introductory engineering vibration course offered to mechanical engineering students at the XXX University covers the vibration analysis on both lumped-parameter systems (single- and multiple-degree-of-freedom systems) and distributed-parameter systems (bars, beams, etc.). Students learn the fundamental vibration theories on how to model a vibrating system with system equations and analyze the responses of the system subject to various excitations.

Employing vibration analysis projects in teaching the engineering vibration course helps students develop critical thinking and problem-solving skills. Combined with hands-on projects, FEA has been used as a supplement in the teaching of mechanical vibration for decades. Integrating appropriate FEA-based projects in teaching is an efficient way to assist students in the learning of engineering vibration. Animations from FEA enable students to visualizing the phenomena of vibrations and enhancing their comprehension of concepts and theories.

This paper documents an effort of integrating two FEA-based projects in the mechanical vibration course. The first project makes use of the quarter-car model to simulate the behavior of vehicle suspension systems. The main function of a suspension provides the necessary ride isolation and can be simulated by using a lumped-parameter system with mass, spring and damper elements. In this project, students build FEA models and simulate the vibration responses of a suspension to harmonic excitation in the frequency domain and to impulsive excitation in the time domain. Furthermore, students investigate the variations of vibrating responses to changes in the parameters of shock absorbers. The second project carries out the vibration analysis of an airplane wing which is simulated by using a distributed-parameter system. In this project, students build parametric wing CAD models in which the wing length, root chord length and tip chord length are defined as design variables. Corresponding vibration modal characteristics of the resulting wing models are investigated in the subsequent FEA-based vibration analysis.

AU - Shengyong Zhang
CY - Minneapolis, MN
DA - 2022/08/23
PB - ASEE Conferences
TI - Vibration Analysis Projects of Lumped-Parameter and Distributed-Parameter Systems
UR - https://peer.asee.org/40491
DO - 10.18260/1-2--40491
ER -