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The Applications of Nonlinear Dynamics in Materials and Structures
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The Applications of Nonlinear Dynamics in Materials and Structures

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

Deadline for manuscript submissions: closed (20 October 2024) | Viewed by 5268

Special Issue Editor

Dr. Mahmoud Bayat

E-Mail Website
Guest Editor
School of Architecture, College of Architecture Planning and Public Affairs, The University of Texas at Arlington, Arlington, TX 76019, USA
Interests: nonlinear vibrations; structural health monitoring (SHM); resilience-based design of structures; bayesian statistics; risk and reliability assessment
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

It is well known that most physical processes and phenomena are nonlinear. Although many problems are roughly considered to be linear and this approach gives satisfactory results, there are some practical problems that require consideration of the effects of nonlinearities. Nonlinear dynamics is a science that studies the quantitative and qualitative laws of various motion states in nonlinear dynamical systems, especially the evolution behavior of motion patterns. It is a very promising tool discipline, providing a potential analytical engine for the era of big data. This Special Issue focuses on contemporary applications, innovative theory, and the challenges of nonlinear dynamics in materials and structures.

Dr. Mahmoud Bayat
Guest Editor

Manuscript Submission Information

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Keywords

  • nonlinear dynamics
  • nonlinear methods
  • nonlinear engineering
  • nonlinear vibration

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Published Papers (5 papers)

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Research

13 pages, 3289 KiB  
Article
Dynamic Modeling and Simulation of a Cyclic Towing System for Underwater Vehicles
by Xinhao Luo and Shiping He
Appl. Sci. 2024, 14(23), 10767; https://doi.org/10.3390/app142310767 - 21 Nov 2024
Viewed by 632
Abstract
The cyclic towing system for underwater vehicles presented in this paper is a platform, featuring high efficiency and flexibility that is specifically designed for hydrodynamic experiments with underwater vehicles in an experimental water tank. To study the dynamic characteristics of the cyclic towing [...] Read more.
The cyclic towing system for underwater vehicles presented in this paper is a platform, featuring high efficiency and flexibility that is specifically designed for hydrodynamic experiments with underwater vehicles in an experimental water tank. To study the dynamic characteristics of the cyclic towing system, this paper employs the Lagrange equations of the second kind to model the key components of the system, including the underwater vehicle, towing wheel, guiding wheel, tensioning device, and cable. The model calculates the system’s stiffness, damping, mass, and fluid resistance equations, while the overall dynamic model of the system is numerically solved using the Runge–Kutta method. The validity of this model was verified by comparing and analyzing the simulation results with those from the commercial software ADAMS. Finally, this paper discusses the effects of different operating conditions, such as input torque and tensioning force, on the system’s operation. The research findings can provide theoretical support for engineering applications of cyclic towing systems. Full article
(This article belongs to the Special Issue The Applications of Nonlinear Dynamics in Materials and Structures)
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27 pages, 5458 KiB  
Article
Numerical Modeling and Analysis of Pendant Installation Method Dynamics Using Absolute Nodal Coordinate Formulation
by Yongkang Chen, Shiping He and Xinhao Luo
Appl. Sci. 2024, 14(16), 7427; https://doi.org/10.3390/app14167427 - 22 Aug 2024
Viewed by 685
Abstract
Accurately simulating the deployment process of coupled systems in deep-sea environments remains a significant challenge. This study employs the Absolute Nodal Coordinate Formulation (ANCF) to dynamically model and analyze multi-body systems based on the Pendant Installation Method (PIM). Utilizing the principle of energy [...] Read more.
Accurately simulating the deployment process of coupled systems in deep-sea environments remains a significant challenge. This study employs the Absolute Nodal Coordinate Formulation (ANCF) to dynamically model and analyze multi-body systems based on the Pendant Installation Method (PIM). Utilizing the principle of energy conversion, this study calculates the stiffness, generalized elastic forces, mass matrices, and Morison equation, formulating a motion equation for the dynamic coupling of nonlinear time-domain forces in cables during pendulum deployment, which is numerically solved using the implicit generalized-α method. By comparing the simulation results of this model with those from the catenary theory model, the advanced modeling capabilities of this model are validated. Lastly, the sensitivity of the multi-body system under various boundary conditions is analyzed. The results indicate that deployment operations are more effective in environments with strong ocean currents. Furthermore, upon comparing the impacts of structural mass and deployment depth on the system, it was found that deployment depth has a more significant effect. Consequently, the findings of this study provide a scientific basis for formulating subsequent optimization strategies. Full article
(This article belongs to the Special Issue The Applications of Nonlinear Dynamics in Materials and Structures)
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14 pages, 6157 KiB  
Article
Experimental Investigations into Failures and Nonlinear Behaviors of Structural Membranes with Open Cuttings
by Wenrui Li, Ping Liu, Baijian Tang and Sakdirat Kaewunruen
Appl. Sci. 2024, 14(14), 6241; https://doi.org/10.3390/app14146241 - 18 Jul 2024
Viewed by 870
Abstract
Reportedly, structural failures in membrane structures have occurred frequently, mostly originating from localized damage caused by intense loads on the membrane surface. It is thus necessary to investigate the nonlinear behaviors and load-carrying capacity of membranes with local damage. This study has conducted [...] Read more.
Reportedly, structural failures in membrane structures have occurred frequently, mostly originating from localized damage caused by intense loads on the membrane surface. It is thus necessary to investigate the nonlinear behaviors and load-carrying capacity of membranes with local damage. This study has conducted uniaxial tensile tests for membranes with a variety of original defects by using a specialized experimental setup and photogrammetry technique. The nonlinear relationship between the mechanical properties and the deforming angle of membranes, which portrays the principal axis, tensor, tensile stress, and position of the original defects, is investigated. The entire process of membrane failure has been recorded, and the strain and stress during each test specimen are compared. The new results indicate that the membranes exhibit predominantly elastic deformation before failure but surprisingly impart brittle fracture upon failure. Finally, a novel approach for estimating the load-bearing capacity of initially damaged membranes was proposed through the analysis of the load-bearing capacity of the damaged membranes under various conditions, positions, angles, and other influential factors. Full article
(This article belongs to the Special Issue The Applications of Nonlinear Dynamics in Materials and Structures)
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21 pages, 8397 KiB  
Article
Study on the Impact of Different Pile Foundation Construction Methods on Neighboring Oil and Gas Pipelines under Very Small Clearances
by Dunwen Liu, Xiaotian Zhang, Yu Tang, Yuhui Jin and Kunpeng Cao
Appl. Sci. 2024, 14(9), 3609; https://doi.org/10.3390/app14093609 - 24 Apr 2024
Viewed by 1243
Abstract
With the acceleration of transportation infrastructure and the densification of transportation networks, there has been an increase in bridge pile construction near oil and gas pipelines. Selecting bridge pile construction methods with minimal impact and reducing the adverse effects of bridge pile construction [...] Read more.
With the acceleration of transportation infrastructure and the densification of transportation networks, there has been an increase in bridge pile construction near oil and gas pipelines. Selecting bridge pile construction methods with minimal impact and reducing the adverse effects of bridge pile construction on nearby oil and gas pipelines are of great importance. This paper uses FLAC3D 6.0 software to simulate and analyze the impact of two different pile construction methods, rotary drilling and impact drilling, on adjacent oil pipelines. The results show that the horizontal displacement of oil pipelines during rotary drilling construction is nearly 90% lower than that of the traditional impact drilling method, and the axial stress is reduced by nearly 85%. Furthermore, numerical simulations of rotary drilling under different conditions were conducted to analyze and summarize the patterns of how different conditions affect construction vibration and stress. This study provides a reference for bridge pile construction near oil and gas pipelines or important buildings. Full article
(This article belongs to the Special Issue The Applications of Nonlinear Dynamics in Materials and Structures)
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19 pages, 8045 KiB  
Article
Chaotic Characteristic Analysis of Spillway Radial Gate Vibration under Discharge Excitation
by Yangliang Lu, Yakun Liu, Di Zhang, Ze Cao and Xuemin Fu
Appl. Sci. 2024, 14(1), 99; https://doi.org/10.3390/app14010099 - 21 Dec 2023
Cited by 2 | Viewed by 1222
Abstract
This paper aims to assess the nonlinear vibration of a radial gate induced by flood discharge; the measured acceleration response data of a spillway radial gate are analyzed using the chaos theory. The results show that the vibration responses of the gate at [...] Read more.
This paper aims to assess the nonlinear vibration of a radial gate induced by flood discharge; the measured acceleration response data of a spillway radial gate are analyzed using the chaos theory. The results show that the vibration responses of the gate at three opening heights present clear chaotic characteristics, and the chaotic characteristics of the lower main beam point are greater than other points. Moreover, the y-direction (vertical) correlation dimensions of the three measuring points on the supporting arm are larger than those of the x-direction (axial) and z-direction (lateral). The vertical vibration of the supporting arm is more complex and presents more uncertainties, which should be paid attention to in the literature. Under three different gate opening heights, the maximum Lyapunov exponent of each measuring point ranges from 0.0246 to 0.0681. In addition, the flow fluctuation load is the main excitation source of the gate vibration chaotic characteristics. Full article
(This article belongs to the Special Issue The Applications of Nonlinear Dynamics in Materials and Structures)
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