Optimization of Nonlinear Vibration in Mechanical Systems

A special issue of Applied Sciences (ISSN 2076-3417). This special issue belongs to the section "Mechanical Engineering".

Deadline for manuscript submissions: closed (20 May 2022) | Viewed by 3454

Special Issue Editors


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Guest Editor
Center for Advanced Vehicular Systems, Mississippi State University, Starkville, MS, USA
Interests: structural engineering; design optimization; digital design; CAE

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Guest Editor
Design System Laboratory, Meiji University, Tokyo 101-8301, Japan
Interests: structural engineering; design optimization; digital design

Special Issue Information

Dear Colleagues,

It is important to collect the practical case studies for this special issue. The case studies to discuss are collected by industries. About the collected case studies, the experts in design teams and manufacturing teams will explain. Based on the experts’ explanation, the understanding of the nonlinear phenomenon will be clarified. The expert researchers of numerical simulation will explain modeling technologies of nonlinear software and material models. As parts of these case studies, optimization softwares are demonstrated.  Special attentions were paid to nonlinear systems. In addition, the consideration of robust design will be discussed.

Prof. Keiichi Motoyama
Dr. Koichi Ohtomi
Guest Editors

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Keywords

  • nonlinear system
  • numerical simulation
  • modeling
  • design optimization
  • robust design
  • Taguchi Method

Published Papers (2 papers)

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Research

23 pages, 437 KiB  
Article
Almost Anti-Periodic Discrete Oscillation of General N-Dimensional Mechanical System and Underactuated Euler-Lagrange System
by Chao Wang, Jie Wang, Ravi P. Agarwal and Zhien Li
Appl. Sci. 2022, 12(4), 1991; https://doi.org/10.3390/app12041991 - 14 Feb 2022
Cited by 2 | Viewed by 1233
Abstract
In this paper, we introduce the notions of the almost anti-periodic discrete process of the N-dimensional vector-valued and N×N matrix-valued functions. Some basic properties of the almost anti-periodic discrete functions are established. Based on this, the conditions of the stability [...] Read more.
In this paper, we introduce the notions of the almost anti-periodic discrete process of the N-dimensional vector-valued and N×N matrix-valued functions. Some basic properties of the almost anti-periodic discrete functions are established. Based on this, the conditions of the stability and instability of the almost anti-periodic solutions to the general N-dimensional mechanical system and the underactuated Euler–Lagrange system have been considered. Moreover, some examples are provided to support our obtained results. Full article
(This article belongs to the Special Issue Optimization of Nonlinear Vibration in Mechanical Systems)
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11 pages, 644 KiB  
Article
An Approximation-Based Design Optimization Approach to Eigenfrequency Assignment for Flexible Multibody Systems
by Roberto Belotti, Ilaria Palomba, Erich Wehrle and Renato Vidoni
Appl. Sci. 2021, 11(23), 11558; https://doi.org/10.3390/app112311558 - 06 Dec 2021
Cited by 3 | Viewed by 1393
Abstract
The use of flexible multibody simulation has increased significantly over recent years due to the increasingly lightweight nature of mechanical systems. The prominence of lightweight engineering design in mechanical systems is driven by the desire to require less energy in operation and to [...] Read more.
The use of flexible multibody simulation has increased significantly over recent years due to the increasingly lightweight nature of mechanical systems. The prominence of lightweight engineering design in mechanical systems is driven by the desire to require less energy in operation and to reach higher speeds. However, flexible lightweight systems are prone to vibration, which can affect reliability and overall system performance. Whether such issues are critical depends largely on the system eigenfrequencies, which should be correctly assigned by the proper choice of the inertial and elastic properties of the system. In this paper, an eigenfrequency assignment method for flexible multibody systems is proposed. This relies on a parametric modal model which is a Taylor expansion approximation of the eigenfrequencies in the neighborhood of a configuration of choice. Eigenfrequency assignment is recast as a quadratic programming problem which can be solved with low computational effort. The method is validated by assigning the lowest eigenfrequency of a two-bar linkage by properly adding point masses. The obtained results indicate that the proposed method can effectively assign the desired eigenfrequency. Full article
(This article belongs to the Special Issue Optimization of Nonlinear Vibration in Mechanical Systems)
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