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Symmetry
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Symmetry in Nonlinear Structural Dynamics: Topic and Advance
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Symmetry in Nonlinear Structural Dynamics: Topic and Advance

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Engineering and Materials".

Deadline for manuscript submissions: closed (19 February 2023) | Viewed by 5318

Special Issue Editors

Dr. Yiu Yin Raymond Lee

E-Mail Website
Guest Editor
Department of Architecture and Civil Engineering, City University of Hong Kong, Tat Chee Avenue, Kowloon 852, Hong Kong
Interests: environmental noise; interior acoustic; random vibration; nonlinear structural dynamics; finite element method; smart and composite structures; active noise and structural vibration control; measurement techniques in noise and structural vibration
Dr. Wing Hong Ivan Fung

E-Mail Website
Guest Editor
Department of Architecture and Civil Engineering, City University of Hong Kong, Tat Chee Avenue, Kowloon 852, Hong Kong
Interests: construction project management; safety & risk management; engineering education; automation in construction

Special Issue Information

Dear Colleagues,

This Special Issue aims at presenting new developments in nonlinear structural dynamics as well as methods for the solution of nonlinear governing equations of special structures. Papers of both a theoretical and experimental nature are welcome. Symmetric and anti-symmetric properties are commonly inherent in numerous physical and engineering systems and have been studied by various researchers. Thus, the scope of this Special Issue is broad and includes papers of mathematical background, involving dynamic modeling and vibration of structural elements; adaptive computational methods; nonlinear dynamic behaviors of smart structures/materials; dynamic stability of discrete and continuous systems; application of numerical techniques in studying nonlinear dynamics of beams, arches, cables, plates and shells; dynamic systems involving clearances, impacts and friction; dynamics of micro-scale systems; nonlinear behaviors of soil–structure, structural–acoustic, and fluid–structural interactions; stability and bifurcation analysis of piecewise systems and structures; dynamic response of hysteretic systems; vibration absorbers; rotordynamics of systems; applications of smart sensors and actuators; optimal sensor and actuator location methods; and multi-objective optimization. Experimental studies as verification of theoretical results are also of the particular interest.

Submit your paper and select the Journal “Symmetry” and the Special Issue “Symmetry in Nonlinear Structural Dynamics: Topic and Advance” via: MDPI submission system. Our papers will be published on a rolling basis and we will be pleased to receive your submission once you have finished it.

Dr. Yiu Yin Raymond Lee
Dr. Wing Hong Ivan Fung
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. Symmetry is an international peer-reviewed open access monthly 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 2400 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

  • nonlinear beams, arches, cables, plates, and shells
  • dynamic modeling
  • computational methods
  • soil–structure, structural–acoustic, and fluid–structural interactions
  • stability and bifurcation analyses
  • active and passive control
  • experimental studies and measurement techniques
  • vibration isolation
  • optimization for structural problem
  • harmonic balance method, perturbation method, method of multiple scales
  • nonlinear oscillator

Published Papers (3 papers)

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Research

13 pages, 576 KiB  
Article
Analytical and Numerical Approximations to Some Coupled Forced Damped Duffing Oscillators
by Alvaro H. Salas, Mamon Abu Hammad, Badriah M. Alotaibi, Lamiaa S. El-Sherif and Samir A. El-Tantawy
Symmetry 2022, 14(11), 2286; https://0-doi-org.brum.beds.ac.uk/10.3390/sym14112286 - 01 Nov 2022
Cited by 14 | Viewed by 1249
Abstract
In this investigation, two different models for two coupled asymmetrical oscillators, known as, coupled forced damped Duffing oscillators (FDDOs) are reported. The first model of coupled FDDOs consists of a nonlinear forced damped Duffing oscillator (FDDO) with a linear oscillator, while the second [...] Read more.
In this investigation, two different models for two coupled asymmetrical oscillators, known as, coupled forced damped Duffing oscillators (FDDOs) are reported. The first model of coupled FDDOs consists of a nonlinear forced damped Duffing oscillator (FDDO) with a linear oscillator, while the second model is composed of two nonlinear FDDOs. The Krylov–Bogoliubov–Mitropolsky (KBM) method, is carried out for analyzing the coupled FDDOs for any model. To do that, the coupled FDDOs are reduced to a decoupled system of two individual FDDOs using a suitable linear transformation. After that, the KBM method is implemented to find some approximations for both unforced and forced damped Duffing oscillators (DDOs). Furthermore, the KBM analytical approximations are compared with the fourth-order Runge–Kutta (RK4) numerical approximations to check the accuracy of all obtained approximations. Moreover, the RK4 numerical approximations to both coupling and decoupling systems of FDDOs are compared with each other. Full article
(This article belongs to the Special Issue Symmetry in Nonlinear Structural Dynamics: Topic and Advance)
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18 pages, 4374 KiB  
Article
Stability and Bifurcation Analysis of a Nonlinear Rotating Cantilever Plate System
by Shuping Chen, Danjin Zhang and Youhua Qian
Symmetry 2022, 14(3), 629; https://0-doi-org.brum.beds.ac.uk/10.3390/sym14030629 - 21 Mar 2022
Viewed by 1631
Abstract
This paper investigates the bifurcation behavior and the stability of the rotating cantilever rectangular plate that is subjected to varying speed and centrifugal force. The local stability of the degenerated equilibrium of nonlinear system with symmetry is observed after analyzing the corresponding characteristic [...] Read more.
This paper investigates the bifurcation behavior and the stability of the rotating cantilever rectangular plate that is subjected to varying speed and centrifugal force. The local stability of the degenerated equilibrium of nonlinear system with symmetry is observed after analyzing the corresponding characteristic equation. In addition to complex phenomena such as static bifurcation and Hopf bifurcation, the 2-D torus bifurcation is investigated in this paper. Thereafter, the steady-state solutions and stability region are obtained using the center manifold theory and normal form method. Finally, numerical simulations are conducted to show the nonlinear dynamical behaviors of the rotating cantilever rectangular plate. Full article
(This article belongs to the Special Issue Symmetry in Nonlinear Structural Dynamics: Topic and Advance)
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22 pages, 14021 KiB  
Article
Preliminary Design and Experimental Study of a Steel-Batten Ribbed Cable Dome
by Mingmin Ding, Yuzhou Shen, Yang Wei, Bin Luo, Lulu Wang and Ningyuan Zhang
Symmetry 2021, 13(11), 2136; https://0-doi-org.brum.beds.ac.uk/10.3390/sym13112136 - 10 Nov 2021
Cited by 5 | Viewed by 2989
Abstract
A steel-batten ribbed cable dome structural system is proposed. By replacing the upper flexible cables with semi-rigid steel battens, rigid roofing materials were conveniently installed overhead via non-bracket or less-bracket technology. Additionally, an 8 m diameter test model was designed, and a ‘ω’ [...] Read more.
A steel-batten ribbed cable dome structural system is proposed. By replacing the upper flexible cables with semi-rigid steel battens, rigid roofing materials were conveniently installed overhead via non-bracket or less-bracket technology. Additionally, an 8 m diameter test model was designed, and a ‘ω’ shaped less-bracket consequent hoist-dragging system was adopted. Finally, the test model was tested under symmetric and asymmetric uniform loading arrangements, while a finite element model was established to verify the test values. The results indicate that the measured values are basically consistent with the finite element values. In the early steps of hoisting and dragging, the structure establishes a prestress, accumulates stiffness, and found its internal force balance, while the entire structure keeps a “ω” shape to guarantee stability. As the internal forces of the components increase, the structure turns from “ω” to “m” and finally reached its designed shape. With increasing symmetric uniform load, the internal forces of the cables decrease, the bending stresses of the steel battens increase, and the steel battens remain in the elastic stage. Under an asymmetric uniform load, the high loaded area is displaced downward, and the low loaded area behaves upward, twisting the overall structure. Full article
(This article belongs to the Special Issue Symmetry in Nonlinear Structural Dynamics: Topic and Advance)
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