Article
Engineering, Multidisciplinary
Lingling Chen, Yang Liu, Shenjie Zhou, Binglei Wang
Summary: The higher-order isotropic elasticity theory requires only three independent material parameters according to GSGET, which can capture size effects in micro-beam models. Variational formulations of micro-beams including Bernoulli-Euler and Timoshenko beams are deduced by utilizing Hamilton's principle. The effects of normalized maximum deflection, stiffness, and natural frequency are studied, showing the importance of using GSGET to characterize size effects in mechanical properties of micro-structures.
APPLIED MATHEMATICAL MODELLING
(2021)
Article
Engineering, Civil
Nilgun Merve Caglar, Erdal Safak
Summary: A modified version of the Mode Shape-Based Estimation (MSBE) technique is proposed in this study to estimate the structural response at non-instrumented floors of a multi-story building. The proposed approach requires less user interference and provides improved accuracy, particularly for high-rise structures. The structure is modeled as a cantilever beam and the unknown terms of the frequency-dependent solution to the differential equation are estimated using the first natural frequency. Theoretical solutions are used to approximate deflected shapes at any frequency and the contribution of different beam modes is calculated to simulate the response at each time step, considering both low- and high-frequency content of the vibration and possible nonlinear behavior of the structure.
EARTHQUAKE ENGINEERING & STRUCTURAL DYNAMICS
(2022)
Article
Computer Science, Artificial Intelligence
Taniya Kapoor, Hongrui Wang, Alfredo Nunez, Rolf Dollevoet
Summary: This article proposes a new framework using physics-informed neural networks (PINNs) to simulate complex structural systems consisting of single and double beams based on Euler-Bernoulli and Timoshenko theories, with the double beams connected to a Winkler foundation. The results suggest that PINNs are a promising strategy for solving problems in engineering structures and machines involving beam systems.
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
(2023)
Article
Engineering, Civil
Francesca Pancella, Angelo Luongo
Summary: This study conducts a linear free vibration analysis of a rectangular box girder using different approaches. A simple yet efficient method is proposed to examine the combined effect of shear-lag of the flanges and shear deformation of the web. New analytical expressions for the effective flange width and effective shear area are derived, considering the reduced geometric characteristics of the cross-section caused by shear-lag. The proposed analytical models are validated by comparing with numerical results from Finite Element analyses.
THIN-WALLED STRUCTURES
(2023)
Article
Engineering, Civil
Guoyao Ma, Qi Jiang, Xiju Zong, Jie Wang
Summary: This paper investigates a method combining finite differences and least squares to determine the unknown flexural rigidity EI(x) governed by the Euler-Bernoulli beam. The method discretizes the Euler-Bernoulli beam using the finite difference method and determines the elements of the coefficient matrix using the least squares method. The identification results of the flexural rigidity are still accurate even in the presence of noise in the collected output data.
Article
Materials Science, Multidisciplinary
Yishuang Huang, Peijun Wei, Yuqian Xu, Yueqiu Li
Summary: The study investigates flexural wave propagation in a microbeam using a nonlocal strain gradient model with fractional order derivatives, demonstrating the model's flexibility in capturing dispersive properties. Numerical comparisons with integer order models and molecular dynamic simulations validate the effectiveness of the fractional order nonlocal strain gradient model.
MATHEMATICS AND MECHANICS OF SOLIDS
(2021)
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
Engineering, Mechanical
Mohammad Mousavi, Saeed Ziaei-Rad, Amir Hossein Karimi
Summary: This study aims to harvest electrical energy from bridge vibrations using a functionally graded (FG) cantilever beam installed at the mid-point of the bridge. The motion equations for both the bridge and FG harvester were obtained based on Hamilton's principle. The equations were solved using the Runge-Kutta method and validated through finite element (FE) simulation and empirical tests.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2023)
Article
Mechanics
Olga Doeva, Pedram Khaneh Masjedi, Paul M. Weaver
Summary: Beams resting on elastic foundations are widely used in engineering design. This study presents a new mathematical model for predicting the flexural behavior of laminated composite beams on elastic foundations, which is verified numerically for accuracy.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2021)
Article
Engineering, Civil
Camilo J. Fernandez-Escobar, Carlos A. Vega-Posada, Edwin F. Garcia-Aristizabal
Summary: This article focuses on investigating the influence of shear deformation and its interaction with the surrounding soil in short, rigid, and large-diameter piles. Through a parametric study using SAP2000 software, it is found that the deflection and rotation of the pile head significantly increase when considering shear deformation, with the most significant effect observed at low values of the pile/soil stiffness ratio.
ENGINEERING STRUCTURES
(2023)
Article
Mechanics
Xuan Li, Dunant Halim
Summary: This study proposes an analytical modelling method for free and forced vibration analyses of a delaminated beam structure based on the Green's function method. The models developed, the 'free mode' and 'constrained mode' models, accurately simulate the dynamic response of a delaminated beam by considering the connection among sub-beams. The results demonstrate the effectiveness of the proposed modelling method for analysing the dynamic characteristics of a beam with delamination.
Article
Mathematics, Applied
E. F. Medeiros, A. De Cezaro, F. Travessini De Cezaro
Summary: In this contribution, a rigorous analysis is presented for the identification of the flexural stiffness coefficient in a statically determined Euler-Bernoulli beam. The analysis defines a parameter-to-solution map and proves its injectivity, continuity, compactness, Frechet differentiability, and satisfaction of the tangential cone condition in the L2[0, L]-topology. The ill-posedness of the coefficient identification and the need for regularization approaches are discussed, along with the numerical implementation and iterative methods.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2023)
Article
Chemistry, Physical
Zdzislaw Wieckowski, Paulina Swiatkiewicz
Summary: The stress-based finite element method is proposed to solve the static bending problem for elastic beams in the Euler-Bernoulli and Timoshenko models. Two types of elements with different degrees of freedom are introduced, which successfully reproduce the exact solution for piece-wise constant distributed loading. Additionally, the proposed elements do not exhibit shear locking phenomenon for the Timoshenko model and consider the influence of an elastic Winkler-type foundation.
Article
Mathematics, Applied
Ara S. Avetisyan, Asatur Zh. Khurshudyan
Summary: Within the context of a simply supported beam, there is not a significant difference in the influence of follower and normal loads when considering transverse shear deformation or von Karman strains, beyond the elasticity limit.
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
(2021)
Article
Chemistry, Multidisciplinary
Reza Hedayati, Naeim Ghavidelnia, Mojtaba Sadighi, Mahdi Bodaghi
Summary: The study focuses on converting analytical relationships based on Euler-Bernoulli beam theory to Timoshenko beam theory, which results in an improvement in the accuracy of analytical formulas. This methodology not only enhances existing analytical relationships, but also facilitates the derivation of accurate analytical relationships for other unexplored unit cell types.
APPLIED SCIENCES-BASEL
(2021)
Article
Engineering, Multidisciplinary
Amir Mehdi Dehrouyeh-Semnani, Mansour Nikkhah-Bahrami, Mohammad Reza Hairi Yazdi
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2017)
Article
Engineering, Multidisciplinary
Amir Mehdi Dehrouyeh-Semnani, Mansour Nikkhah-Bahrami, Mohammad Reza Hairi Yazdi
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2017)
Article
Engineering, Multidisciplinary
Amir Mehdi Dehrouyeh-Semnani
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2017)
Article
Engineering, Multidisciplinary
Amir Mehdi Dehrouyeh-Semnani
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2018)
Article
Engineering, Multidisciplinary
Amir Mehdi Dehrouyeh-Semnani, Esmaeil Dehdashti, Mohammad Reza Hairi Yazdi, Mansour Nikkhah-Bahrami
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2019)
Article
Engineering, Mechanical
Amir Mehdi Dehrouyeh-Semnani, Sohrab Jafarpour
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2019)
Article
Engineering, Multidisciplinary
Amir Mehdi Dehrouyeh-Semnani, Hasan Mostafaei
Summary: This article provides a thorough investigation into the natural frequencies and mode shapes of thin doubly curved shallow microshells by considering the influence of material length scale parameter. The mathematical model is obtained using Hamilton's principle, modified couple stress theory, and Kirchhoff-Love's shell theory, with the free vibration characteristics extracted using the finite element method. The study includes comparative studies to verify the quadrilateral thin shallow shell element and presents numerical results for various types of shallow microshells with different planforms.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2021)
Article
Engineering, Multidisciplinary
Amir Mehdi Dehrouyeh-Semnani, Hasan Mostafaei
Summary: A novel mathematical formulation is established for size-dependent thin doubly curved microshells of revolution, and a new microshell element with nine degrees of freedom is developed. The finite element analysis examines the impact of size-dependency on the free vibration characteristics and mode shapes of microshells of revolution, demonstrating accuracy and reliability of the numerical results.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2021)
Article
Mechanics
Amir Mehdi Dehrouyeh-Semnani
Summary: Hard magnetic materials are a novel class of soft active materials capable of quick, large, and complex deformation under external actuation, with potential applications in soft robots, biomedical devices, wearable devices, and stretchable electronic devices. Current research focuses on the nonlinear mechanics of hard magnetic soft cantilevers, particularly in terms of bifurcation behavior, parameter identification, new trajectories, corresponding workspace, and comparative analysis.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2021)
Article
Engineering, Multidisciplinary
Amir Mehdi Dehrouyeh-Semnani
Summary: A novel geometrically exact nonlinear beam model is established to investigate the extremely large deformations and stability characteristics of size-dependent microcantilevers under nonconservative loads, using a modified couple stress theory. The mathematical formulation explains the size effect in microcantilevers and numerical methods are utilized to evaluate the deformed configurations and stability. A comprehensive investigation is conducted to highlight the role of size-dependency in flutter instability and large deformation of microsystems.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2021)
Article
Engineering, Mechanical
Amir Mehdi Dehrouyeh-Semnani
Summary: It is questioned whether the actuating magnetic field decreases the oscillation amplitude of a fluid-conveying cantilevered hard magnetic soft pipe in the post-flutter region. The nonlinear responses of the pipe with uniform and nonuniform magnetizations under an actuating parallel magnetic field are examined to answer the question. The role of magnetization in the system's magneto-hydro-elastic responses is analyzed.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2023)
Article
Mechanics
Amir Mehdi Dehrouyeh-Semnani
Summary: In this paper, it is proven mathematically that the stability trend (buckling-post-buckling) of the size-dependent porous functionally graded (metal-ceramic) shear deformable microplates with fully simply supported edges, based on the modified couple stress theory, was incorrectly predicted in the previous study.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2023)
Article
Engineering, Civil
Amir Mehdi Dehrouyeh-Semnani
Summary: The reported results by Fan et al. (2021) indicate that the functionally graded small-scale plate with unsymmetrical material distribution remains flat under compressive load until it reaches a critical buckling load. However, the present comment argues that the small-scale plate undergoes lateral deformation from the beginning of in-plane loading, contrary to the findings of Fan et al. (2021). It is noted that the work of Aydogdu (2008) on unsymmetrically laminated plates was not considered in the study by Fan et al. (2021).
THIN-WALLED STRUCTURES
(2023)
Letter
Mechanics
Amir Mehdi Dehrouyeh-Semnani
COMPOSITE STRUCTURES
(2017)
Article
Mechanics
Amir Mehdi Dehrouyeh-Semnani, Hasan Mostafaei, Mohammad Dehrouyeh, Mansour Nikkhah-Bahrami
COMPOSITE STRUCTURES
(2017)
Article
Engineering, Multidisciplinary
Tohya Kanahama, Motohiro Sato
Summary: This study theoretically explains the effect of initial deflection and initial slope on self-buckling characteristics of heavy columns and proposes a formula characterizing the self-buckling problem. The results show that the greatest height is proportional to the 2/3 power of radius, and the formula can potentially predict the height of tree-like natural structures.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2024)
Article
Engineering, Multidisciplinary
Aps Selvadurai, Alexander P. Suvorov
Summary: This paper examines the torsion of a solid cylinder made of a fluid-saturated porous medium with a hyperelastic porous skeleton. It analyzes the mechanics of the twisted cylinder in both short-term and long-term behaviors, using numerical solutions and the ABAQUSTM finite element code.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2024)
Article
Engineering, Multidisciplinary
S. Kanaun
Summary: This study focuses on spherical radially transverse isotropic heterogeneous inclusions in homogeneous isotropic conductive host media. The volume integral equation for the field in the medium with an isolated inclusion subjected to a constant external field is solved using Mellin-transform technique. The method allows revealing tensor structure of the solution with precision to one scalar function of radial coordinate. The study also investigates the influence of neutral inclusions and conductivity coefficients on the effective conductivity of the composite material.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2024)
Article
Engineering, Multidisciplinary
Marinos Kattis, Vassilis Tsitsos, Vassilis Karatzaferis
Summary: The proposed model utilizes continuum mechanics to describe the mechanical behavior of a weakened interface between materials with microstructure, simulating the weakened interface using a surface elastic medium adhering on either side with bulk elastic continua. The model is able to investigate the effect of a weakened interface on stress concentration around inhomogeneities embedded in an unbounded matrix of Cosserat materials.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2024)
Article
Engineering, Multidisciplinary
Shixiang Zhao, Yu. V. Petrov, Yuyi Zhang, G. A. Volkov, Zejian Xu, Fenglei Huang
Summary: This paper theoretically studies the thermal softening related to stress relaxation using the incubation time approach and examines the temperature-time correspondence. The developed relaxation model of plasticity (RP model) is analyzed and compared with other constitutive models and artificial neural networks. The advantages and disadvantages of different models are discussed, and the differences between the ANN model and other constitutive models are examined.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2024)
Article
Engineering, Multidisciplinary
Ivan I. Argatov, Federico J. Sabina
Summary: This study models a seismic metabarrier as a cluster of single-degree-of-freedom resonator units and considers the scattering effects on pulsed Rayleigh waves caused by the vertical displacements of the resonators and the normal contact forces. The variation of the amplitude reduction factor due to the model parameters variation is studied in detail.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2024)
