Article
Multidisciplinary Sciences
Mojtaba Gorji Azandariani, Mohammad Gholami, Ehsan Vaziri, Akbar Nikzad
Summary: A size-dependent Euler-Bernoulli beam model based on the modified couple stress theory was developed for nonlinear static analysis of a bidirectional functionally graded microbeam. The precision of the model was evaluated by comparing the results with previous studies, showing an average error of 1.3%. Parameter study indicated that increasing K-NL leads to an increase in nonlinear deflection, while increasing the dimensionless length scale parameter l(0) also increases the nonlinear deflection ratio.
ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING
(2021)
Article
Construction & Building Technology
Zahi Rachid, Sahli Abderahmane, Moulgada Abdelmadjid, Ziane Noureddine, Refassi Kaddour
Summary: This research proposes an advanced finite element formulation for analyzing the vibratory behavior of tapered composite shaft rotors, taking into account the impact of the draft angle on the shaft's stiffness. The vibration response of the rotating shaft is studied using both finite element hierarchical method and classical finite element formulation, considering the transverse shear deformation, rotary inertia, gyroscopic effect, and coupling effect due to the stratification of the composite layers. The study also includes the development of a program to calculate the Eigen frequencies and critical speeds, and the results are compared with literature.
STEEL AND COMPOSITE STRUCTURES
(2023)
Article
Mathematics
Juan Hernandez, Dionisio Peralta, Yamilet Quintana
Summary: In this paper, we investigate the generalized degenerate Bernoulli/Euler polynomial matrices and their algebraic properties. We focus on matrix-inversion formulae related to these matrices and explore analytical properties of the generalized degenerate Pascal matrix of the first kind, as well as factorizations for the generalized degenerate Euler polynomial matrix.
Article
Engineering, Mechanical
Quancheng Peng, Minghao Li
Summary: This study focuses on the dynamic analysis of a rotating flexible beam and compares the results of six finite element methods. The study shows that the results of linear methods and nonlinear methods differ, and three different viewpoints are obtained through numerical result analysis.
NONLINEAR DYNAMICS
(2023)
Article
Mathematics, Interdisciplinary Applications
Didier Samayoa, Helvio Mollinedo, Jose Alfredo Jimenez-Bernal, Claudia del Carmen Gutierrez-Torres
Summary: This manuscript investigates the static and free vibration responses of Euler-Bernoulli beams with a Koch snowflake cross-section. By using the finite element method and Matlab, the transversal displacement in static load condition, natural frequencies, and vibration modes are calculated and validated. The relationship between the maximum displacement and Hausdorff dimension is determined as y(max)=k(0.79lndH+0.37), where k is the iteration number of pre-fractal. The natural frequencies increase as omega similar to M-2.51, and the bending stiffness is expressed as EI=1165.4ln(d(H)+k). Numerical examples are provided to discuss the mechanical implications.
FRACTAL AND FRACTIONAL
(2023)
Article
Multidisciplinary Sciences
Ramzy M. Abumandour, Mohammed A. El-Shorbagy, Islam M. Eldesoky, Mohamed H. Kamel, Hammad Alotaibi, Ahmed L. Felila
Summary: This paper investigates the bending behavior of nanobeams under different forces and boundary conditions. The results show that the deflection of the nanobeam is influenced by parameters such as the scaling effect, cross-sectional area variation, and the presence of elastic foundations. Several key deductions are made based on the analysis of these parameters.
Article
Acoustics
Veera Sajjanapu, Thomas Ward
Summary: This study experimentally investigated the dynamics of semi-rigid cantilevers in the wake of a cylinder. The results showed the presence of flutter phenomena and vortex-induced vibrations.
JOURNAL OF SOUND AND VIBRATION
(2022)
Article
Computer Science, Interdisciplinary Applications
Mohamed A. Attia, Salwa. A. Mohamed
Summary: This paper investigates the nonlinear vibration characteristics of pre- and post-buckled nonuniform bi-directional functionally graded (BDFG) microbeams subjected to nonlinear thermal loading. The formulations derived herein are based on thermoelastic constitutive relations of the higher-order Reddy beam theory in conjunction with the modified couple stress theory, von Karman nonlinear strains, and physical neutral plane concept, for the first time.
ENGINEERING WITH COMPUTERS
(2022)
Article
Engineering, Multidisciplinary
Subrat Kumar Jena, S. Chakraverty, Vinyas Mahesh, Dineshkumar Harursampath
Summary: This study investigates the free vibration of a Functionally Graded (FG) micro-beam with uniformly distributed porosity using the Haar Wavelet Discretization Method (HWDM) and Differential Quadrature Method (DQM). The results demonstrate the accuracy and effectiveness of these methods. The study also analyzes the effects of factors such as power-law exponent, porosity volume fraction index, and thickness on natural frequencies and provides physical explanations for the observed trends.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2022)
Article
Computer Science, Interdisciplinary Applications
Pei-Liang Bian, Hai Qing
Summary: In this study, a new FEM framework was developed to simulate the mechanical responses of the Euler-Bernoulli beam with a two-phase local/nonlocal mixed model. The model showed efficient convergence, simplicity of expressions, and flexibility in handling various boundary conditions and external loads.
ENGINEERING WITH COMPUTERS
(2023)
Article
Mechanics
Ali Talezadehlari
Summary: The free vibration behavior of a composite shell/panel with and without a central square cutout is studied using the Multi-domain Generalized Differential Quadrature (GDQ) method. The study focuses on decomposing the physical domain into several elements with uniform properties and continuous conditions. The governing equations are derived and solved using GDQ method, with comparison made to existing results for verification. The study also investigates the effects of different parameters on the vibration behavior of the composite shell/panel.
COMPOSITE STRUCTURES
(2022)
Editorial Material
Engineering, Mechanical
Slavisa Salinic, Aleksandar Obradovic, Aleksandar Grbovic
Summary: This article provides comments on an exact dynamic stiffness method for multibody systems consisting of beams and rigid-bodies. The authors believe that this method has significant applications in mechanical systems and signal processing.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2021)
Article
Engineering, Multidisciplinary
Zi Ye, Zhi Yong Ai, Yonghui Chen, Long Chen
Summary: This study proposes a mathematical model to describe the dynamic interaction between a beam and a layered transversely isotropic unsaturated subgrade. The dynamic solution of the beam-subgrade system is acquired by introducing the equivalent stiffness into the beam motion equation. The correctness of this theory is verified and a series of numerical examples are provided to discuss the parametric sensitivity.
APPLIED MATHEMATICAL MODELLING
(2023)
Article
Engineering, Aerospace
Mustafa Tolga Tolga Yavuz, Ibrahim Ozkol
Summary: This study analyzes the free vibration of a rotating non-uniform beam with a flexible root and setting angle using the differential quadrature method, showing the impact of design parameters and operating conditions on the dynamics characteristics of the rotating beam. The application of this numerical method provides new insights into the behavior of the structure under different variations.
AIRCRAFT ENGINEERING AND AEROSPACE TECHNOLOGY
(2021)
Article
Engineering, Mechanical
Hong Shen, Liang Ding, Jihua Fan, Mingqiang Wang
Summary: Based on the modified couple stress theory, the dynamic characteristics of an internal flexible tapered microbeam made from functionally graded material were studied. The mechanical properties of the beam varied with power law along the thickness direction. The deformation field of the flexible beam was discretized by the hypothetical mode method, and the geometric nonlinear strain was taken into account. The first-order approximate rigid-flexible coupling dynamic equation of the system was derived, and the dynamic simulation software was developed for studying the system's dynamic characteristics and critical speed.
JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING
(2023)
Article
Materials Science, Multidisciplinary
Majid Azimi, Seyed Sajad Mirjavadi, Navvab Shafiei, A. M. S. Hamouda
APPLIED PHYSICS A-MATERIALS SCIENCE & PROCESSING
(2017)
Article
Acoustics
Majid Ghadiri, Navvab Shafiei
JOURNAL OF VIBRATION AND CONTROL
(2017)
Article
Thermodynamics
Seyed Sajad Mirjavadi, Abdolhamid Matin, Navvab Shafiei, Samira Rabby, Behzad Mohasel Afshari
JOURNAL OF THERMAL STRESSES
(2017)
Article
Materials Science, Multidisciplinary
Navvab Shafiei, Majid Ghadiri, Mohammad Mahinzare
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2019)
Article
Materials Science, Multidisciplinary
Majid Azimi, Seyed Sajad Mirjavadi, Navvab Shafiei, A. M. S. Hamouda, Ehsan Davari
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2018)
Article
Engineering, Multidisciplinary
Laleh Fatahi, Shapour Moradi
STRUCTURAL HEALTH MONITORING-AN INTERNATIONAL JOURNAL
(2018)
Article
Engineering, Mechanical
Seyed Sajad Mirjavadi, Behzad Mohasel Afshari, Mohammad Khezel, Navvab Shafiei, Samira Rabby, Morteza Kordnejad
JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING
(2018)
Article
Materials Science, Multidisciplinary
S. Fakher, M. Reihanian, S. M. Lari Baghal, Laleh Fatahi
Summary: The study focused on the deformation processing of a metal laminate with a cracked interlayer, utilizing a model material and finite element analysis to explore related mechanisms. Experimental and simulation results showed the direction of spread for discontinuities during the roll bonding process. Peeling test after single roll bonding revealed an increase in bond strength for the Al/Cr composite with cracked interlayer as thickness reduction and hard chrome layer decreased.
METALS AND MATERIALS INTERNATIONAL
(2021)
Article
Computer Science, Interdisciplinary Applications
Xiaoping Huang, Yemao Zhang, Zohre Moradi, Navvab Shafiei
Summary: This paper studies the impact of nonlinear modal analysis on the vibrational response of axially functionally graded truncated conical micro-scale tubes. Different cross sections, such as uniform, linear tapered, convex, and exponential sections, are considered for various applications. The results provide valuable insights for design and manufacture of micro-electro-mechanical systems (MEMS) by analyzing the effect of various cross sections and parameters on micro-tube frequency.
ENGINEERING WITH COMPUTERS
(2022)
Article
Computer Science, Interdisciplinary Applications
Fengxia Hou, Shengbin Wu, Zohre Moradi, Navvab Shafiei
Summary: This paper examines the bending and buckling analysis of microbeams with different cross-sectional shapes, using the modified couple stress theory and the homotopy perturbation technique. By considering the nonlinear and large-deflection effects, the influence of various parameters on the bending deflection and buckling of microbeams is thoroughly analyzed.
ENGINEERING WITH COMPUTERS
(2022)
Article
Mechanics
Wentao Xu, Genji Pan, Zohre Moradi, Navvab Shafiei
Summary: This research investigates the linear and nonlinear forced vibration response of axially functionally graded microbeams under dynamic harmonic loads, considering the impact of various parameters such as cross-section shape and porosity on the dynamic behavior. The study utilizes modified couple stress theory and numerical methods to derive governing equations and analyze the effects of different parameters on the dynamic response of microscale tubes and beams.
COMPOSITE STRUCTURES
(2021)
Article
Mechanics
Laleh Fatahi, Shapour Moradi, Ali Hajnayeb
JOURNAL OF COMPUTATIONAL APPLIED MECHANICS
(2020)
Article
Construction & Building Technology
Seyed Sajad Mirjavadi, Behzad Mohasel Afshari, Navvab Shafiei, A. M. S. Hamouda, Mohammad Kazemi
STEEL AND COMPOSITE STRUCTURES
(2017)
Article
Engineering, Multidisciplinary
Seyed Mostafa Mousavi, Javad Aminian, Navvab Shafiei, Abdolrahman Dadvand
SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI
(2017)
Article
Engineering, Multidisciplinary
Navvab Shafiei, Majid Ghadiri, Hesam Makvandi, Seyyed Amirhosein Hosseini
APPLIED MATHEMATICAL MODELLING
(2017)
