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Mathematics
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Analytical Simulation of Structural Dynamics and Vibration
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Analytical Simulation of Structural Dynamics and Vibration

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Engineering Mathematics".

Deadline for manuscript submissions: 15 August 2024 | Viewed by 1694

Special Issue Editors

Dr. Qicheng Zhang

E-Mail Website
Guest Editor
Bristol Composites Institute, University of Bristol, University Walk, Bristol BS8 1TR, UK
Interests: structural dynamics; vibration analysis; structural vibration; mechanical metamaterials; wave propagation
Dr. Pingchao Yu

E-Mail Website
Guest Editor
College of Civil Aviation, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China
Interests: numerical modeling; nonlinear rotordynamics; joint structure dynamics
Dr. Jie Yuan

E-Mail Website
Guest Editor
Department of Mechanical and Aerospace Engineering, Aerospace Centre of Excellence, Strathclyde University, Glasgow G1 1XJ, UK
Interests: mechanical engineering; structural dynamics; nonlinear vibrations; contact and friction; friction damping; friction-induced vibrations; stability analysis; uncertainty quantification; optimization
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Structural dynamics and vibration-related problems are among the critical and most researched issues in aerospace, civil and mechanical engineering. Analytical modeling method based on theories, such as but not limited to the Lagrangian approach or Hamilton's principle, is widely used to understand the principal phenomenon and characteristics of dynamic systems, with high calculating efficiency and clear physical meaning. This Special Issue aims to foster the discussion on the latest development and application of analytical modeling of dynamic systems. The research target could be different mechanical, civil or other structures. Besides, high-performance mechanical metamaterials with special inner microstructures have been developed for vibration reduction. The wave propagation and dynamic behavior of these metamaterials are also a focus of this Special Issue

Dr. Qicheng Zhang
Dr. Pingchao Yu
Dr. Jie Yuan
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • structural dynamics
  • vibration analysis
  • nonlinear dynamics
  • wave propagation
  • noise reduction
  • active and passive vibration control
  • mechanical metamaterials
  • Hamilton's principle

Published Papers (2 papers)

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Research

16 pages, 11886 KiB  
Article
Nonlinear Modeling and Vibration Response Analysis of a Dual-Rotor System with an Inter-Shaft Graphite Seal
by Sen Xiao, Pingchao Yu, Zihan Jiang, Cun Wang, Jiayu Chen and Qicheng Zhang
Mathematics 2024, 12(3), 454; https://doi.org/10.3390/math12030454 - 31 Jan 2024
Viewed by 502
Abstract
The inter-shaft graphite seal is a common structure in the dual-rotor system, and may generate nonlinear lateral excitation when there is large relative angular motion at the seal position. This paper represents the first attempt to study the nonlinear behaviors of a dual-rotor [...] Read more.
The inter-shaft graphite seal is a common structure in the dual-rotor system, and may generate nonlinear lateral excitation when there is large relative angular motion at the seal position. This paper represents the first attempt to study the nonlinear behaviors of a dual-rotor system with inter-shaft graphite seal excitations. First, an excitation model of the inter-shaft graphite seal is proposed by the analytical method. This model is then introduced into the beam finite element model of a dual rotor system, and the dynamic equations of the whole system are finally obtained. The vibration responses under the effect of the inter-shaft seal are clarified by analyzing 3D waterfall plots, rotor orbits, and time and frequency domain waveforms. The results show that the inter-shaft seal can lead to vibration coupling between HP and LP rotors. The axial spring stiffness and contact end face friction coefficient of the graphite seal have a significant effect on rotor vibration. When those two parameters are small, only coupling vibration phenomena can be observed, i.e., the rotation frequency of one rotor can be observed in another rotor vibration. With the increase in axial spring stiffness or contact end face friction coefficient, multiple modes of LP and HP rotors are excited, which dominates the vibration behaviors of the dual rotor system. Full article
(This article belongs to the Special Issue Analytical Simulation of Structural Dynamics and Vibration)
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19 pages, 1763 KiB  
Article
Defect-Band Splitting of a One-Dimensional Phononic Crystal with Double Defects for Bending-Wave Excitation
by Soo-Ho Jo, Donghyu Lee and Byeng D. Youn
Mathematics 2023, 11(18), 3852; https://doi.org/10.3390/math11183852 - 08 Sep 2023
Cited by 2 | Viewed by 805
Abstract
Extensive prior research has delved into the localization of elastic wave energy through defect modes within phononic crystals (PnCs). The amalgamation of defective PnCs with piezoelectric materials has opened new avenues for conceptual innovations catering to energy harvesters, wave filters, and ultrasonic receivers. [...] Read more.
Extensive prior research has delved into the localization of elastic wave energy through defect modes within phononic crystals (PnCs). The amalgamation of defective PnCs with piezoelectric materials has opened new avenues for conceptual innovations catering to energy harvesters, wave filters, and ultrasonic receivers. A recent departure from this conventional paradigm involves designing an ultrasonic actuator that excites elastic waves. However, previous efforts have mostly focused on single-defect scenarios for bending-wave excitation. To push the boundaries, this research takes a step forward by extending PnC design to include double piezoelectric defects. This advancement allows ultrasonic actuators to effectively operate across multiple frequencies. An analytical model originally developed for a single-defect situation via Euler–Bernoulli beam theory is adapted to fit within the framework of a double-defect set-up, predicting wave-excitation performance. Furthermore, a comprehensive study is executed to analyze how changes in input voltage configurations impact the output responses. The ultimate goal is to create ultrasonic transducers that could have practical applications in nondestructive testing for monitoring structural health and in ultrasonic imaging for medical purposes. Full article
(This article belongs to the Special Issue Analytical Simulation of Structural Dynamics and Vibration)
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