Article
Engineering, Civil
Xutao Sun
Summary: In this study, the dynamic stiffness method incorporating the Wittrick-Williams algorithm is used to analyze the natural frequencies of a cracked beam, while investigating the influence of a crack on the algorithm's components. The study shows that the crack affects the discretization of the structure, but the crack element itself does not directly contribute to the second component of the algorithm.
THIN-WALLED STRUCTURES
(2021)
Article
Engineering, Civil
J. R. Banerjee, A. Ananthapuvirajah, X. Liu, C. Sun
Summary: The free vibration behavior of coupled axial-bending Timoshenko beams was studied by developing the dynamic stiffness matrix and utilizing solution techniques to derive expressions for axial and bending displacements as well as bending rotation. The importance of axial-bending coupling effects and shear deformation in free vibration behavior was discussed with significant conclusions drawn.
THIN-WALLED STRUCTURES
(2021)
Article
Engineering, Mechanical
Xiang Liu, Zhaoming Lu, Sondipon Adhikari, YingLi Li, J. Ranjan Banerjee
Summary: This paper proposes two significant developments of the Wittrick-Williams (W-W) algorithm, which combines dynamic stiffness (DS) model and the W-W algorithm for accurate and efficient wave propagation analysis. The method is applied to hexagonal honeycomb lattice structures and compared with finite element method (FEM) results. It is shown that the proposed method is at least two orders of magnitude more computationally efficient and provides accurate eigenvalues and eigenmodes.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2022)
Article
Engineering, Mechanical
Xiang Liu, Chengli Sun, J. Ranjan Banerjee, Han-Cheng Dan, Le Chang
Summary: An exact dynamic stiffness method is proposed for the free vibration analysis of multi-body systems, allowing connections between rigid bodies and beams of any shape or size. The research examines the role of different beam theories in the dynamic behavior of multi-body systems, providing exact benchmark results compared with finite element solutions. This study offers an efficient analysis tool for multi-body system dynamics, suitable for optimization and modal parameter identification.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2021)
Article
Computer Science, Interdisciplinary Applications
Md Imran Ali, M. S. Azam, V Ranjan, J. R. Banerjee
Summary: The free vibration characteristics of Sigmoid Functionally Graded Material (S-FGM) Levy-type plates were investigated using the Dynamic Stiffness Method (DSM), with a proposed method that is accurate and simple to compute natural frequencies and mode shapes of the plates. The results can be used as benchmark solutions for further investigation of FGM plates.
COMPUTERS & STRUCTURES
(2021)
Article
Engineering, Mechanical
Xiang Liu, Xiao Liu, Sondipon Adhikari, Shengwen Yin
Summary: This paper proposes an efficient and reliable eigenvalue solution technique for analytical stochastic dynamic stiffness (SDS) formulations of beam built-up structures with parametric un-certainties. The method combines the Wittrick-Williams (WW) algorithm, the Newton iteration method and numerical perturbation method to extract eigensolutions from SDS formulations, demonstrating robustness and efficiency through numerical examples.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2022)
Article
Computer Science, Interdisciplinary Applications
J. R. Banerjee
Summary: This paper derives the frequency dependent mass and stiffness matrices of bar and beam elements and establishes their equivalency with the dynamic stiffness matrix, paving the way for future research to include damping in dynamic stiffness research. The results permit the application of the Wittrick-Williams algorithm to compute the exact natural frequencies of structures comprising bar and beam elements.
COMPUTERS & STRUCTURES
(2021)
Article
Mathematics
Xiang Liu, Shaoqi Qiu, Suchao Xie, Jnan Ranjan Banerjee
Summary: This paper extends the Wittrick-Williams (W-W) algorithm to connect any combinations of line and point nodes, providing a general method for hybrid dynamic stiffness models. The proposed direct constraint method and extended W-W algorithm simplify the modeling and solution process, while maintaining numerical stability in complex built-up structures.
Article
Acoustics
J. Ranjan Banerjee, Stanislav O. Papkov, Thuc P. Vo, Isaac Elishakoff
Summary: Several models based on continuum mechanics have been proposed to solve the free vibration problem of micro beams. This paper focuses on the modified couple stress theory in conjunction with the Timoshenko-Ehrenfest theory to study the free vibration characteristics of micro beams. The main advantage of the modified couple stress theory is its use of only one material length scale parameter. The results demonstrate the effects of the length scale parameter on the free vibration characteristics of Timoshenko-Ehrenfest micro beams.
JOURNAL OF VIBRATION AND CONTROL
(2023)
Article
Engineering, Multidisciplinary
Xiang Liu, Yaxing Zhao, Wei Zhou, J. Ranjan Banerjee
Summary: This study proposes closed-form dynamic stiffness formulations and an efficient eigen-solution technique for accurate longitudinal free vibration analyses of rods and trusses. The research provides an exact and efficient modal analysis tool suitable for various applications.
APPLIED MATHEMATICAL MODELLING
(2022)
Article
Engineering, Civil
Chuangjie Fang
Summary: This paper investigates the applicability of viscously damped outrigger systems using Timoshenko beam theory. The proposed approach has been verified by finite element method through a case study. The study shows that adding damping can significantly reduce vibration, while the number of damped outriggers and the stiffness ratios of core-column have a limited influence on damping contribution.
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS
(2022)
Article
Engineering, Mechanical
Xiang Liu, Jiayu Pei, Xueyi Zhao, Wei Zhou
Summary: Exact dynamic stiffness formulations for free vibration of membranes and their assemblies in polar coordinates are derived using Bessel functions and Wittrick-Williams algorithm. The proposed method is applied to representative examples of individual membranes and their assemblies under arbitrary boundary conditions (BCs). The efficiency and accuracy of the dynamic stiffness method (DSM) are demonstrated by comparing results with those by the finite element method (FEM).
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2023)
Article
Engineering, Civil
Xiang Liu, Yu Li, Yuliang Lin, J. Ranjan Banerjee
Summary: A spectral dynamic stiffness (SDS) model for plate assemblies stiffened by beams is proposed, with a sufficient generality to cover a wide range of applications. The method involves developing SDS formulations for different beam stiffeners using modified Fourier series and superposing their matrices onto those of plate assemblies. The accuracy and versatility of the proposed theory are extensively validated using the software ANSYS.
THIN-WALLED STRUCTURES
(2021)
Article
Chemistry, Multidisciplinary
Manish Chauhan, Pawan Mishra, Sarvagya Dwivedi, Minvydas Ragulskis, Rafal Burdzik, Vinayak Ranjan
Summary: In this paper, the dynamic stiffness method was used to study the out-of-plane natural vibration of a thin orthotropic plate. The obtained results can serve as benchmark solutions for comparing the natural frequencies of orthotropic plates.
APPLIED SCIENCES-BASEL
(2022)
Article
Computer Science, Interdisciplinary Applications
Xiang Liu, Yaxing Zhao, Tao Lu, Hao Xu, Liang Yang
Summary: A closed-form dynamic stiffness (DS) formulation is proposed for pile group foundations, which can accurately describe the broadband dynamic behaviors of complex pile group foundations using very few degrees of freedom. The proposed method is verified against some existing results, and it provides an exact and highly efficient modal and response analysis tool for pile group foundations subjected to earthquake or traffic excitations.
COMPUTERS AND GEOTECHNICS
(2023)
Article
Computer Science, Interdisciplinary Applications
H. I. Kassem, X. Liu, J. R. Banerjee
ADVANCES IN ENGINEERING SOFTWARE
(2016)
Article
Acoustics
J. Ranjan Banerjee, Stanislav O. Papkov, Thuc P. Vo, Isaac Elishakoff
Summary: Several models based on continuum mechanics have been proposed to solve the free vibration problem of micro beams. This paper focuses on the modified couple stress theory in conjunction with the Timoshenko-Ehrenfest theory to study the free vibration characteristics of micro beams. The main advantage of the modified couple stress theory is its use of only one material length scale parameter. The results demonstrate the effects of the length scale parameter on the free vibration characteristics of Timoshenko-Ehrenfest micro beams.
JOURNAL OF VIBRATION AND CONTROL
(2023)
Article
Engineering, Mechanical
Rosaria Del Toro, Maria Laura De Bellis, Marcello Vasta, Andrea Bacigalupo
Summary: This article presents a multifield asymptotic homogenization scheme for analyzing Bloch wave propagation in non-standard thermoelastic periodic materials. The proposed method derives microscale field equations, solves recursive differential problems within the unit cell, establishes a down-scaling relation, and obtains average field equations. The effectiveness of this approach is validated by comparing dispersion curves with those from the Floquet-Bloch theory.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2024)
Article
Engineering, Mechanical
Yue Bao, Zhengcheng Yao, Yue Zhang, Xueman Hu, Xiandong Liu, Yingchun Shan, Tian He
Summary: This paper proposes a novel triple-gradient phononic acoustic black hole (ABH) beam that strategically manipulates multiple gradients to enhance its performance. The study reveals that the ABH effect is not solely brought about by the thickness gradient, but also extends to the power-law gradients in density and modulus. The synergistic development of three different gradient effects leads to more pronounced and broader bandgaps in PCs.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2024)
Article
Engineering, Mechanical
Matthias Ryser, Jason Steffen, Bekim Berisha, Markus Bambach
Summary: This study investigates the feasibility of replacing complex experiments with multiple simpler ones to determine the anisotropic yielding behavior of sheet metal. The results show that parameter identifiability and accuracy can be achieved by combining multiple specimen geometries and orientations, enhancing the understanding of the yield behavior.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2024)
Article
Engineering, Mechanical
Wenjun Li, Pengfei Zhang, Siyong Yang, Shenling Cai, Kai Feng
Summary: This study presents a novel two-dimensional non-contact platform based on Near-field Acoustic Levitation (NFAL), which can realize both one-dimensional and two-dimensional transportation. Numerical and experimental results prove the feasibility and ease of this method.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2024)
Article
Engineering, Mechanical
Shuo Liu, Lu Che, Guodong Fang, Jun Liang
Summary: This study presents a novel lamina conjugated bond-based peridynamic (BB-PD) model that overcomes the limitations of material properties and is applicable to composite laminates with different stacking sequences. The accuracy and applicability of the model are validated through simulations of elastic deformation and progressive damage behavior, providing an explanation of the damage modes and failure mechanisms of laminated composite materials subjected to uniaxial loading.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2024)
Article
Engineering, Mechanical
Omar El-Khatib, S. Kumar, Wesley J. Cantwell, Andreas Schiffer
Summary: Sandwich-structured honeycombs (SSHCs) are hierarchical structures with enhanced mass-specific properties. A model capable of predicting the elastic properties of hexagonal SSHCs is presented, showing superior in-plane elastic and shear moduli compared to traditional honeycombs, while the out-of-plane shear moduli are reduced.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2024)
Article
Engineering, Mechanical
Zhi-Jian Li, Hong-Liang Dai, Yuan Yao, Jing-Ling Liu
Summary: This paper proposes a process-performance prediction model for estimating the yield strength and ultimate tensile strength of metallic parts fabricated by powder bed fusion additive manufacturing. The effect of main process variables on the mechanical performance of printed metallic parts is analyzed and the results can serve as a guideline for improvement. The accuracy of the proposed model is validated by comparison with literature.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2024)
Article
Engineering, Mechanical
Saman A. Bapir, Kawa M. A. Manmi, Rostam K. Saeed, Abdolrahman Dadvand
Summary: This study numerically investigates the behavior of an ultrasonically driven gas bubble between two parallel rigid circular walls with a cylindrical micro-indentation in one wall. The primary objective is to determine the conditions that facilitate the removal of particulate contamination from the indentation using the bubble jet. The study found that the bubble jet can effectively remove contamination from the indentation for certain ranges of indentation diameter, but becomes less effective for larger indentation diameters.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2024)
Article
Engineering, Mechanical
E. Polyzos, E. Vereroudakis, S. Malefaki, D. Vlassopoulos, D. Van Hemelrijck, L. Pyl
Summary: This research investigates the elastic and damage characteristics of individual composite beads used in 3D printed composites. A new analytical probabilistic progressive damage model (PPDM) is introduced to capture the elastic and damage attributes of these beads. Experimental results show strong agreement with the model in terms of elastic behavior and ultimate strength and strain.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2024)
