Article
Engineering, Civil
Mohsen Rahmani, Sajjad Dehghanpour
Summary: This paper studies the free vibration characteristics of two sandwich beam models using a high-order theory, considering the transverse flexibility of the core. Different material distributions, temperature dependencies, and mechanical properties are taken into account to improve the accuracy of the models. The study uses Hamilton's principle and a Galerkin method to derive and solve the governing equations, and compares the results with existing literature. The effects of temperature variation, geometrical parameters, and porosities on frequency are also investigated.
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS
(2021)
Article
Engineering, Multidisciplinary
Emad Sobhani, Babak Safaei
Summary: For the first time, the dynamical assessment of the fastened hemispherical-cylindrical shell structure (FHCSS) made of porous functionally graded ceramic-metal (FGCM) materials under elastic edge conditions is conducted. The influence of pore distribution and elastic edge constraints on the system's dynamic is studied, and the motion equations and influential relationships of the shell elements are established. A mesh-less procedure is developed to discretize the equations, and the natural frequencies of the FHCSS are determined. The examples demonstrate the impact of material values, pores, elastic boundary constraints, and geometrical appearance values on the responses of the FHCSS.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2023)
Article
Computer Science, Interdisciplinary Applications
M. M. Keleshteri, J. Jelovica
Summary: This paper investigates the nonlinear vibration behavior of bidirectional porous beams with non-uniform porosity distribution and proposes a new porosity distribution to maximize natural frequencies. Numerical methods are used to discretize and solve the nonlinear dynamic equations, showing that the newly defined porosity distribution can increase frequencies, with higher porosities near the center further increasing frequencies.
ENGINEERING WITH COMPUTERS
(2021)
Article
Engineering, Mechanical
Yuhao Zhao, Jingtao Du, Yilin Chen, Yang Liu
Summary: In this study, the potential application of a nonlinear mass-spring system in vibration control of a double-beam structure is investigated. The variations in parameters of the nonlinear mass-spring system significantly affect the dynamic behavior of the double-beam structure, resulting in complex dynamics within certain parameter ranges. Suitable parameters of the nonlinear mass-spring system are effective in suppressing vibrations at the system's boundaries.
NONLINEAR DYNAMICS
(2023)
Article
Engineering, Civil
V. Kumar, S. J. Singh, V. H. Saran, S. P. Harsha
Summary: This paper investigates the vibration response of a porous Functionally Graded Material (FGM) plate with variable thickness. Mathematical modeling is used to describe the plate resting on different types of elastic foundations. The effects of variable foundation and porosity distribution on the plate's behavior are analyzed and compared to that of a homogeneous plate.
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS
(2023)
Article
Engineering, Mechanical
Yuhao Zhao, Jingtao Du
Summary: Double-beam structures are commonly encountered in engineering applications and their vibration behavior has attracted research attention. Previous studies mainly focused on double-beam structures coupled via linear connectors, neglecting the rotational boundary restraints. In this study, a dynamic analysis model of a generally restrained double-beam structure coupled via a flexible connector of cubic nonlinearity is developed. The Galerkin truncated method is used to solve the nonlinear governing equations, and the impact of coupling nonlinearity on the dynamic behavior of the double-beam structure is investigated.
NONLINEAR DYNAMICS
(2022)
Article
Engineering, Mechanical
Zhen Zhang, Hu Ding, Ye-Wei Zhang, Li-Qun Chen
Summary: This study introduces a new method to suppress vibrations of elastic structures by placing an inertial nonlinear energy sink on the boundaries. By optimizing the parameters, the resonance amplitude of the elastic structure can be reduced by 98%, achieving a high vibration suppression effect.
ACTA MECHANICA SINICA
(2021)
Article
Mechanics
Prashik Malhari Ramteke, Vikash Kumar, Nitin Sharma, Subrata Kumar Panda
Summary: The present article numerically estimates the nonlinear eigenfrequency responses of a functionally graded material panel in a thermal environment using the finite element method. The material properties and porosity distributions are considered, and the stability and accuracy of the proposed model are checked through convergence and validation. Several numerical examples are solved to demonstrate the efficacy of the proposed model.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2022)
Article
Mechanics
Koutoati Kouami, Mohri Foudil, Daya El Mostafa, Carrera Erasmo
Summary: A beam finite element model is proposed for static and free vibration analyses of FGM sandwich beams with viscoelastic nonlinear material behavior. Different viscoelastic frequency-dependent laws, Timoshenko 1st order, and Reddy's higher order shear models are used. The stiffness matrix is nonlinear and frequency dependent. The study shows that beam behavior is sensitive to the loss factor, and damping properties are nonlinearly dependent on the power law index. Boundary conditions affect vibration modes.
COMPOSITE STRUCTURES
(2021)
Article
Engineering, Mechanical
Peng Wang, Nan Wu, Haitao Luo, Zhili Sun
Summary: This paper studies the forced vibration of a non-uniform beam with a nonlinear boundary condition using an iterative model combining Adomian Decomposition Method and modal analysis. The accuracy of the model is validated through a case study and comparison with linear and weakly nonlinear boundary conditions. The influence of boundary nonlinearity on vibration response and the effect of different excitation amplitudes on nonlinearity are analyzed. The proposed mathematical model and numerical solutions can be applied to a wide range of vibration problems on non-uniform beams with various nonlinear boundary conditions under different excitations.
FACTA UNIVERSITATIS-SERIES MECHANICAL ENGINEERING
(2021)
Article
Engineering, Mechanical
Chaofeng Li, Peiyong Li, Xueyang Miao
Summary: This study proposes a model of laminated cylindrical shells with discontinuous piezoelectric layer and analyzes the nonlinear vibration control of such model with point-supported elastic boundary condition. The introduction of artificial springs to simulate arbitrary boundary conditions, derivation of elastic-electrically coupled differential equations using Chebyshev polynomials and Lagrange equations, and decoupling using negative velocity feedback adjustment are crucial. Additionally, investigating the influence of constant gain, size, and position of the piezoelectric layer on the nonlinear amplitude-frequency response highlights their significant impact on the response.
NONLINEAR DYNAMICS
(2021)
Article
Mechanics
Supen Kumar Sah, Anup Ghosh
Summary: This article investigates the free vibration and buckling of multi-directional porous FGM sandwich plates, obtaining equilibrium equations based on sinusoidal shear deformation theory and using Navier's solution technique for simply supported cases. Different porous distribution models are considered for the FGM face sheets, and the influence of various factors on the natural frequency and critical buckling load of the sandwich plate is analyzed.
COMPOSITE STRUCTURES
(2022)
Article
Engineering, Civil
Yuhao Zhao, Jingtao Du, Yilin Chen, Yang Liu
Summary: This study investigates the dynamic behavior of beam structures with a partial non-uniform nonlinear foundation. By establishing a nonlinear vibration model and using GTM for prediction, the study finds that the vibration state of the beam structure is influenced by its initial values and the parameters of the nonlinear foundation.
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS
(2023)
Review
Mechanics
Aman Garg, Mohamed-Ouejdi Belarbi, H. D. Chalak, Anupam Chakrabarti
Summary: Extensive literature on the analysis of sandwich FGM structures discusses the use of these structures as important structural elements. This review study categorizes available manuscripts based on theories, material homogenization rules, and analysis methods, setting a benchmark for future research in this area. Studies on sandwich FGM structures under different loading conditions provide insights into the effects of porosities, hygrothermal loadings, and structures resting on elastic foundations.
COMPOSITE STRUCTURES
(2021)
Article
Mechanics
Cong Ich Le, Dinh Kien Nguyen
Summary: This work investigates the effect of homogenization scheme and partial Pasternak foundation support on the nonlinear vibration of bidirectional functionally graded sandwich beams. The face layers of the beams are made from a three-phase functionally graded material, while the core is homogeneous. Two homogenization schemes, Voigt model and Maxwell formula, are used to estimate the effective material properties of the face layers. Based on the refined third-order shear deformation theory, the nonlinear equation of motion is derived and solved using a direct iterative procedure. The study highlights the influence of material distribution and foundation support on the nonlinear vibration of the sandwich beams.
COMPOSITE STRUCTURES
(2023)
Article
Engineering, Aerospace
Andre F. P. Ribeiro, Carlos Ferreira, Damiano Casalino
Summary: This study compares a filament-based free wake panel method to experimental and validated numerical data in order to simulate propeller slipstreams and their interaction with aircraft components. The results show that the free wake panel method is able to successfully capture the slipstream deformation and shearing, making it a useful tool for propeller-wing interaction in preliminary aircraft design.
AEROSPACE SCIENCE AND TECHNOLOGY
(2024)
