Article
Chemistry, Multidisciplinary
Lorenzo Pinelli, Francesco Lori, Michele Marconcini, Roberto Pacciani, Andrea Arnone
Summary: The paper introduces a numerical method based on a modal work approach to evaluate the forced response of bladed disks, and validates it against results obtained by a commercial FEM code. The successful validation of the method creates the opportunity to include the tool in an integrated multi-objective process to account for aeromechanical aspects.
APPLIED SCIENCES-BASEL
(2021)
Article
Engineering, Civil
Ali Kaveh, Kiarash Biabani Hamedani, Ali Joudaki, Mohammad Kamalinejad
Summary: This study presents a new method for optimal design of large-scale structural systems, which significantly reduces computational time and memory requirements by decomposing eigenvalue problems and utilizing efficient block-diagonalization techniques.
Article
Engineering, Civil
Haim Abramovich
Summary: The Vibration Correlation Technique (VCT) is a nondestructive in-situ method used to assess buckling loads in thin-walled structures, yielding good predictions for experimental buckling load. Recent studies have shown successful applications of VCT in cylindrical shells, providing strong evidence of its applicability and reliability. Additional test results are recommended to further establish VCT as a reliable nondestructive method for predicting buckling loads in thin walled structures.
THIN-WALLED STRUCTURES
(2021)
Article
Mechanics
Yanchun Zhai, Jiaxing Ma, Yangyang Yan, Qiang Li, Shaoqing Wang, Guanqin Wang
Summary: In this article, thermal buckling and free vibration of Composite Sandwich Curved Panels (CSCP) in a thermal environment are analyzed using Hamilton's principle and Navier method. The study examines the influence of structural parameters on Critical Buckling Temperature (CBT) and presents new insights into thermal buckling and free vibration of CSCP.
COMPOSITE STRUCTURES
(2021)
Article
Mathematics, Applied
Bartlomiej Dyniewicz, Jacek M. Bajkowski, Czeslaw I. Bajer
Summary: This paper presents an efficient parallel computing strategy for solving large-scale structural vibration problems. The proposed approach uses a novel direct method with simplex-shaped space-time finite elements and allows for direct decoupling of variables during matrix assembly. The method uses consistent stiffness, inertia, and damping matrices and handles non-symmetric matrices. The results demonstrate that the proposed method enables calculations at least 20 times faster than the classical finite element method, and it can be applied to solve dynamics problems involving large-scale, three-dimensional structures on a personal computer.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2023)
Article
Automation & Control Systems
Varun Ojha, Bartolomeo Panto, Giuseppe Nicosia
Summary: This paper proposes a novel adaptive search space decomposition method and a novel gradient-free optimization-based formulation for the pre-and post-buckling analyses of space truss structures. The method allows the analysis of stable and unstable equilibrium stages of truss structures, explicitly considering geometric nonlinearities. The accuracy and robustness of the adopted methodology show a high potential for gradient-free algorithms to analyze space truss structures.
ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE
(2023)
Article
Materials Science, Multidisciplinary
Wanyu Lu, Hui Liu, Adnan Waqas, Lianchun Long
Summary: This paper systematically investigates the buckling behavior of multilayer pyramid lattice structures, finding that the critical buckling load is influenced by the unit cell size and total height of the structure. The buckling resistance increases with higher relative density. Varying the geometrical properties of the pyramid unit cell allows for the examination of different buckling modes.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2023)
Article
Mechanics
Baker Wael Abuteir, Djamel Boutagouga
Summary: This article examines the free vibration response of functionally graded cylindrical and spherical porous shells with temperature-dependent material properties. The effective material properties are determined using the rule of mixture with porosity phases. The equation of motion is derived based on a curved 8-node degenerated shell element formulation. The study focuses on two different material mixtures and investigates the influence of material constituents, power-law indexes, boundary conditions, radius to thickness ratio, porosity parameter, and temperature gradient on the natural frequencies.
Article
Engineering, Mechanical
Xiaojun Fang, Kaiming Bi, Hong Hao
Summary: In this study, free vibration and buckling of an axially loaded double-beam system with generalized boundary conditions were analytically studied using the Euler-Bernoulli beam theory.
JOURNAL OF ENGINEERING MECHANICS
(2023)
Article
Mechanics
Satyajeet Dash, Sumeet Chakraborty, Tanish Dey, Rajesh Kumar
Summary: This study extensively discusses the buckling and free vibration characteristics of three-phase randomly distributed carbon nanotube reinforced fiber composite beams under compressive loadings and thermal conditions using a semi-analytical approach. The displacement-based governing equations of motion are derived considering higher-order shear deformation theory, and the effective material properties of the composite are determined through different homogenization techniques. The study also considers the effects of temperature-dependent material properties and nanotube agglomeration on the beam behavior.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2022)
Article
Mechanics
Armagan Karamanli, Thuc P. Vo
Summary: This paper investigates the free vibration of axially loaded zigzag and armchair nanobeams using the doublet mechanics theory and various beam theories. A two-noded higher order beam element is used to solve the nanobeams' problems with different boundary conditions. The results are verified by comparing with Molecular Dynamic Simulations, Doublet Mechanics, and Eringen's nonlocal theory. The effects of material length scale parameter, slenderness ratio, nanotube model, and boundary conditions on the fundamental frequencies of axially loaded nanobeams are investigated in detail.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2023)
Article
Engineering, Aerospace
Panneerselvam Balaraman, Vijayaraj Stephen Joseph Raj, Veloorillom Madhavan Sreehari
Summary: This study investigates the structural and thermal characteristics of re-entry vehicle nose structures made of functionally graded materials (FGM) in high-speed aerospace applications. The effects of various thermal environments and temperature rises on critical buckling temperature and natural frequency are analyzed. It is found that the critical buckling temperature and natural frequency decrease with uniform thermal environment and linear temperature rise. The thickness of the FGM shell also significantly influences the buckling and dynamic characteristics of the re-entry vehicle nose structure.
Article
Engineering, Civil
An-Chien Wu, Keh-Chyuan Tsai, Chun Chen, Lu-An Chen, Yu-Cheng Lin
Summary: The proposed TC-BRB, which utilizes an additional truss confining system, has shown significant improvements in the stiffness, strength, and energy dissipation capacity of building structures. Experimental tests were conducted to investigate the hysteresis behavior of TC-BRBs, including the response of truss members, buckling resistance, and cumulative deformation capacity. The results demonstrated that TC-BRBs can be designed and fabricated to have a stable and repeatable hysteretic response, meeting the acceptance criteria of the American Institute of Steel Construction.
EARTHQUAKE ENGINEERING & STRUCTURAL DYNAMICS
(2023)
Article
Engineering, Civil
Dongying Liu, Da Chen, Jie Yang, Sritawat Kitipornchai
Summary: This paper investigates the buckling and free vibration analyses of axially functionally graded graphene reinforced nanocomposite beams, using different distribution patterns of GPLs and conducting a comprehensive parametric study. The analysis is based on theoretical derivations and model solutions, providing results consistent with existing solutions.
ENGINEERING STRUCTURES
(2021)
Article
Mechanics
Di Wang, Yingying Wu, Jun Wang, Jizhuang Hui, Bo Zhang, Wei Cao
Summary: This paper theoretically studies the effect of compressive in-plane load on the equilibrium paths and vibration characteristics of a vertical symmetric laminated plate coupled with fluid, in both pre-and post-buckling states. A two-step theoretical approach is developed, where nonlinear static equations are solved to trace snap-back behavior and stable buckling deflection, followed by calculation of coupled vibration characteristics using tangent stiffness. The number of limit points on the static unstable equilibrium path increases with larger compressive in-plane load in the post-buckling state, as shown by the theoretical and numerical results.
COMPOSITE STRUCTURES
(2021)
Article
Computer Science, Interdisciplinary Applications
Kambiz Koohestani
ENGINEERING COMPUTATIONS
(2015)
Article
Mechanics
K. Koohestani
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2015)
Article
Mechanics
K. Koohestani
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2018)
Article
Mathematics, Applied
K. Koohestani
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2014)
Article
Engineering, Multidisciplinary
K. Koohestani
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2010)
Article
Engineering, Multidisciplinary
K. Koohestani
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2012)
Article
Mechanics
K. Koohestani
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2011)
Article
Mechanics
K. Koohestani
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2012)
Article
Mechanics
K. Koohestani
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2013)
Article
Mechanics
K. Koohestani, S. D. Guest
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2013)
Article
Mechanics
K. Koohestani
MECHANICS RESEARCH COMMUNICATIONS
(2013)
Article
Mechanics
K. Koohestani
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2020)
Article
Computer Science, Interdisciplinary Applications
K. Koohestani
Summary: We propose a novel graph-theoretical method for efficiently generating the topological structure of N-frequency geodesic icosahedron tensegrities. The method is applicable to icosahedrons with any frequency, and it allows for the generation of complex data sets and large-scale benchmark models. The entire process and its components are described and illustrated step by step, and form-finding of 1 to 5-frequency geodesic icosahedron tensegrities is also performed, providing sets of self-equilibrium force densities corresponding to their super-stable geometries.
ENGINEERING WITH COMPUTERS
(2022)
Article
Mechanics
K. Koohestani
COMPOSITE STRUCTURES
(2017)
Article
Mathematics, Applied
Guo Zheng, Zengqiang Cao, Yuehaoxuan Wang, Reza Talemi
Summary: This study introduces two novel methods for predicting the fatigue response of Dynamic Cold Expansion (DCE) and Static Cold Expansion (SCE) open-hole plates. The accuracy of the prediction is enhanced by considering stress distributions and improving existing methods. The study also discusses the mechanisms behind fatigue life enhancement and fatigue crack propagation modes in cold expansion specimens.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Eric Heppner, Tomohiro Sasaki, Frank Trommer, Elmar Woschke
Summary: This paper presents a modeling approach for estimating the bonding strength of friction-welded lightweight structures. Through experiments and simulations, a method for evaluating the bonding strength of friction-welded lightweight structures is developed, and the plausibility and applicability of the model are discussed.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Piermario Vitullo, Alessio Colombo, Nicola Rares Franco, Andrea Manzoni, Paolo Zunino
Summary: Many applications in computational physics involve approximating problems with microstructure, characterized by multiple spatial scales in their data. However, these numerical solutions are often computationally expensive due to the need to capture fine details at small scales. Traditional projection based reduced order models (ROMs) fail to resolve these issues, even for second-order elliptic PDEs commonly found in engineering applications. To address this, we propose an alternative nonintrusive strategy to build a ROM, that combines classical proper orthogonal decomposition (POD) with a suitable neural network (NN) model to account for the small scales.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Chanh Dinh Vuong, Xiaofei Hu, Tinh Quoc Bui
Summary: In this paper, we present a dynamic description of the smoothing gradient-enhanced damage model for the simulation of quasi-brittle failure localization under time-dependent loading conditions. We introduce two efficient rate-dependent damage laws and various equivalent strain formulations to analyze the complicated stress states and inertia effects of the dynamic regime, enhancing the capability of the adopted approach in modeling dynamic fracture and branching.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Alexandre D. C. Amaro, A. Francisca Carvalho Alves, F. M. Andrade Pires
Summary: This study focuses on analyzing various deformation mechanisms that affect the behavior of PC/ABS blends using computational homogenization. By establishing a representative microstructural volume element, defining the constitutive description of the material phases, and modeling the interfaces and matrix damage, accurate predictions can be achieved. The findings have important implications for broader applications beyond PC/ABS blends.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
David Hoffmeyer, A. R. Damanpack
Summary: This paper introduces a method for determining all six stress components for a cantilever-type beam that is subjected to concentrated end loads. The method considers an inhomogeneous cross-section and employs cylindrically orthotropic material properties. The efficacy of the method is validated by numerical examples and a benchmark example, and the analysis on a real sawn timber cross-section reveals significant disparities in the maximum stresses compared to conventional engineering approaches.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Vladimir Stojanovic, Jian Deng, Dunja Milic, Marko D. Petkovic
Summary: The present paper investigates the dynamic analysis of a coupled Timoshenko beam-beam or beam-arch mechanical system with geometric nonlinearities. A modified p-version finite element method is developed for the vibrations of a shear deformable coupled beam system with a discontinuity in an elastic layer. The main contribution of this work is the discovery of coupled effects and phenomena in the simultaneous vibration analysis of varying discontinuity and varying curvature of the newly modelled coupled mechanical system. The analysis results are valuable and have broader applications in the field of solids and structures.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Gihwan Kim, Phill-Seung Lee
Summary: The phantom-node method is applied in the phase field model for mesh coarsening to improve computational efficiency. By recovering the fine mesh in the crack path domain into a coarse mesh, this method significantly reduces the number of degrees of freedom involved in the computation.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Souhail Chaouch, Julien Yvonnet
Summary: In this study, an unsupervised machine learning-based clustering approach is developed to reduce the computational cost of nonlinear multiscale methods. The approach clusters macro Gauss points based on their mechanical states, reducing the problem from macro scale to micro scale. A single micro nonlinear Representative Volume Element (RVE) calculation is performed for each cluster, using a linear approximation of the macro stress. Anelastic macro strains are used to handle internal variables. The technique is applied to nonlinear hyperelastic, viscoelastic and elastoplastic composites.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Hoang-Giang Bui, Jelena Ninic, Christian Koch, Klaus Hackl, Guenther Meschke
Summary: With the increasing demand for underground transport infrastructures, it is crucial to develop methods and tools that efficiently explore design options and minimize risks to the environment. This study proposes a BIM-based approach that connects user-friendly software with effective simulation tools to analyze complex tunnel structures. The results show that modeling efforts and computational time can be significantly reduced while maintaining high accuracy.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Aslan Nasirov, Xiaoyu Zhang, David Wagner, Saikumar R. Yeratapally, Caglar Oskay
Summary: This manuscript presents an efficient model construction strategy for the eigenstrain homogenization method (EHM) for the reduced order models of the nonlinear response of heterogeneous microstructures. The strategy relies on a parallel, element-by-element, conjugate gradient solver, achieving near linear scaling with respect to the number of degrees of freedom used to resolve the microstructure. The linear scaling in the number of pre-analyses required to construct the reduced order model (ROM) follows from the EHM formulation. The developed framework has been verified using an additively manufactured polycrystalline microstructure of Inconel 625.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Atticus Beachy, Harok Bae, Jose A. Camberos, Ramana V. Grandhi
Summary: Emulator embedded neural networks leverage multi-fidelity data sources for efficient design exploration of aerospace engineering systems. However, training the ensemble models can be costly and pose computational challenges. This work presents a new type of emulator embedded neural network using the rapid neural network paradigm, which trains near-instantaneously without loss of prediction accuracy.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Arash Hajisharifi, Michele Girfoglio, Annalisa Quaini, Gianluigi Rozza
Summary: This paper introduces three reduced order models for reducing computational time in atmospheric flow simulation while preserving accuracy. Among them, the PODI method, which uses interpolation with radial basis functions, maintains accuracy at any time interval.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
D. Munoz, S. Torregrosa, O. Allix, F. Chinesta
Summary: The Proper Generalized Decomposition (PGD) is a Model Order Reduction framework used for parametric analysis of physical problems. It allows for offline computation and real-time simulation in various situations. However, its efficiency may decrease when the domain itself is considered as a parameter. Optimal transport techniques have shown exceptional performance in interpolating fields over geometric domains with varying shapes. Therefore, combining these two techniques is a natural choice. PGD handles the parametric solution while the optimal transport-based methodology transports the solution for a family of domains defined by geometric parameters.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Mathematics, Applied
Jothi Mani Thondiraj, Akhshaya Paranikumar, Devesh Tiwari, Daniel Paquet, Pritam Chakraborty
Summary: This study develops a diffused interface CPFEM framework, which reduces computational cost by using biased mesh and provides accurate results using non-conformal elements in the mesh size transiting regions. The accuracy of the framework is confirmed through comparisons with sharp and stepped interface results.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)