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Nonlinear Dynamics and Applications to Structural Engineering
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Nonlinear Dynamics and Applications to Structural Engineering

A special issue of Materials (ISSN 1996-1944). This special issue belongs to the section "Materials Simulation and Design".

Deadline for manuscript submissions: closed (20 November 2022) | Viewed by 6753

Special Issue Editor

Prof. Dr. Enrico Babilio

E-Mail Website
Guest Editor
Department of Structures for Engineering and Architecture, University of Naples Federico II, Naples, Italy
Interests: nonlinear and chaotic dynamics; beam theories; nonlinear elasticity; no-tension material; variational fracture

Special Issue Information

Dear Colleagues,

The dynamics of structures of engineering interest is nonlinear by nature, despite the fact that designers often aim to keep the amplitude of vibration as low as possible, thus making the analysis with linear techniques sufficiently accurate. However, while nonlinear responses are much more difficult to study and, in some cases, may produce dangerous effects, there are already countless applications where nonlinearities are, or can be, exploited. This is the motivation for a deep change of paradigm concerning nonlinear dynamics and, therefore, the subject of one of the most active and exciting scientific frontiers is also fast becoming of paramount importance for real applications. In this regard, this Special Issue aims to collect original research articles and comprehensive reviews that consider any analytical, computational, or experimental aspect of nonlinear dynamics, paying special attention to engineering structures. Topics include but are not limited to continuous and discrete systems; composite, smart, lattice, or tensegrity structures; control, bifurcation, and synchronization phenomena; nonlinear responses of periodically or stochastically loaded structures; parametric excitation; periodic, quasi-periodic, and chaotic motion; fractional and nonlinear damping; dynamical integrity; analytical and numerical methods for nonlinear analysis; and geometrically exact beam models. Papers focused on numerical or experimental applications in any field of engineering, ranging from macro- to nanoscale, will also be highly appreciated.

Prof. Dr. Enrico Babilio
Guest Editor

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. Materials 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

  • nonlinear dynamic response
  • structural dynamics
  • chaotic dynamics
  • engineering systems and structures
  • geometrically exact beam models
  • bifurcation and stability
  • dynamical integrity

Published Papers (4 papers)

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Research

21 pages, 8311 KiB  
Article
Dynamic Stability of Tensegrity Structures—Part I: The Time-Independent External Load
by Paulina Obara and Justyna Tomasik
Materials 2023, 16(2), 580; https://0-doi-org.brum.beds.ac.uk/10.3390/ma16020580 - 06 Jan 2023
Cited by 3 | Viewed by 1212
Abstract
The paper contains a parametric analysis of tensegrity structures subjected to time-independent external loads. A complete dynamic stability analysis is a three-step process. The first stage involves the identification of self-stress states and infinitesimal mechanisms. The next stage concentrates on the static and [...] Read more.
The paper contains a parametric analysis of tensegrity structures subjected to time-independent external loads. A complete dynamic stability analysis is a three-step process. The first stage involves the identification of self-stress states and infinitesimal mechanisms. The next stage concentrates on the static and dynamic behavior of tensegrities under time-independent external loads, whereas the third is under periodic loads. In this paper, the first two stages are carried out. The structures built with the most popular tensegrity modules, Simplex and Quartex, are considered. The effect of the initial prestress on the static parameters and frequency is analyzed. To assess this behavior, a geometrically non-linear model is used. Full article
(This article belongs to the Special Issue Nonlinear Dynamics and Applications to Structural Engineering)
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18 pages, 3762 KiB  
Article
Nonlinear Dynamic Modeling and Analysis of an L-Shaped Multi-Beam Jointed Structure with Tip Mass
by Jin Wei, Tao Yu, Dongping Jin, Mei Liu, Dengqing Cao and Jinjie Wang
Materials 2021, 14(23), 7279; https://0-doi-org.brum.beds.ac.uk/10.3390/ma14237279 - 28 Nov 2021
Cited by 5 | Viewed by 1409
Abstract
A dynamic model of an L-shaped multi-beam joint structure is presented to investigate the nonlinear dynamic behavior of the system. Firstly, the nonlinear partial differential equations (PDEs) of motion for the beams, the governing equations of the tip mass, and their matching conditions [...] Read more.
A dynamic model of an L-shaped multi-beam joint structure is presented to investigate the nonlinear dynamic behavior of the system. Firstly, the nonlinear partial differential equations (PDEs) of motion for the beams, the governing equations of the tip mass, and their matching conditions and boundary conditions are obtained. The natural frequencies and the global mode shapes of the linearized model of the system are determined, and the orthogonality relations of the global mode shapes are established. Then, the global mode shapes and their orthogonality relations are used to derive a set of nonlinear ordinary differential equations (ODEs) that govern the motion of the L-shaped multi-beam jointed structure. The accuracy of the model is verified by the comparison of the natural frequencies solved by the frequency equation and the ANSYS. Based on the nonlinear ODEs obtained in this model, the dynamic responses are worked out to investigate the effect of the tip mass and the joint on the nonlinear dynamic characteristic of the system. The results show that the inertia of the tip mass and the nonlinear stiffness of the joints have a great influence on the nonlinear response of the system. Full article
(This article belongs to the Special Issue Nonlinear Dynamics and Applications to Structural Engineering)
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17 pages, 6245 KiB  
Article
Influence of Vehicle Number on the Dynamic Characteristics of High-Speed Train-CRTS III Slab Track-Subgrade Coupled System
by Qingyuan Xu, Hao Sun, Lexuan Wang, Lei Xu, Wei Chen and Ping Lou
Materials 2021, 14(13), 3662; https://0-doi-org.brum.beds.ac.uk/10.3390/ma14133662 - 30 Jun 2021
Cited by 13 | Viewed by 1586
Abstract
In this paper, a high-speed train–CRTS III slab track–subgrade coupled dynamic model is established. With the model, the influence of vehicle number on the dynamic characteristics of a train–CRTS III slab track–subgrade coupled system with smooth and random track irregularity conditions for conventional [...] Read more.
In this paper, a high-speed train–CRTS III slab track–subgrade coupled dynamic model is established. With the model, the influence of vehicle number on the dynamic characteristics of a train–CRTS III slab track–subgrade coupled system with smooth and random track irregularity conditions for conventional and vibration-reduction CRTS III slab tracks are theoretically studied and analyzed. Some conclusions are drawn from the results: (1) the largest dynamic responses of the coupled system for all items and cases are no longer changed when the vehicle number exceeds three, and three vehicles are adequate to guarantee the simulation precision to investigate the dynamic responses of the coupled system. (2) The acceleration of the car body has almost no relation with the vehicle number, and only one vehicle is needed to study the vehicle dynamics using the train–CRTS III slab track–subgrade coupled dynamic model. (3) For the conventional CRTS III slab track on a subgrade, the vehicle number has a negligible influence on the accelerations of the rail, slab, and concrete base, the positive and negative bending moments of the rail, the compressive force of the fastener, and the positive bending stress of slab, but it has a large influence on the tension force of the fastener, and the negative bending stresses of the slab and concrete base. Only one vehicle is needed to study track dynamics without considering the tension force of the fastener, the negative bending stresses of the slab and concrete base, otherwise, two or more vehicles are required. (4) For vibration reduction of the CRTS III slab track on a subgrade, the number of vehicles has some influence on the dynamic responses of all track components, and at least two vehicles are required to investigate the track dynamics. Full article
(This article belongs to the Special Issue Nonlinear Dynamics and Applications to Structural Engineering)
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14 pages, 6617 KiB  
Article
Nonlocal Vibration Analysis of a Nonuniform Carbon Nanotube with Elastic Constraints and an Attached Mass
by Maria Anna De Rosa, Maria Lippiello, Enrico Babilio and Carla Ceraldi
Materials 2021, 14(13), 3445; https://0-doi-org.brum.beds.ac.uk/10.3390/ma14133445 - 22 Jun 2021
Cited by 9 | Viewed by 1472
Abstract
Here, we consider the free vibration of a tapered beam modeling nonuniform single-walled carbon nanotubes, i.e., nanocones. The beam is clamped at one end and elastically restrained at the other, where a concentrated mass is also located. The equation of motion and relevant [...] Read more.
Here, we consider the free vibration of a tapered beam modeling nonuniform single-walled carbon nanotubes, i.e., nanocones. The beam is clamped at one end and elastically restrained at the other, where a concentrated mass is also located. The equation of motion and relevant boundary conditions are written considering nonlocal effects. To compute the natural frequencies, the differential quadrature method (DQM) is applied. The influence of the small-scale parameter, taper ratio coefficient, and added mass on the first natural frequency is investigated and discussed. Some numerical examples are provided to verify the accuracy and validity of the proposed method, and numerical results are compared to those obtained from exact solution. Since the numerical results are in excellent agreement with the exact solution, we argue that DQM provides a simple and powerful tool that can also be used for the free vibration analysis of carbon nanocones with general boundary conditions for which closed-form solutions are not available in the literature. Full article
(This article belongs to the Special Issue Nonlinear Dynamics and Applications to Structural Engineering)
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