Article
Engineering, Mechanical
Mei Liu, Jin Wei, Xiaoyun Zhang, Dengqing Cao
Summary: In this study, an equivalent nonlinear beam model (ENBM) of the beamlike truss considering the geometric nonlinearity is proposed based on the equivalent modeling approach. The ENBM can significantly improve computational efficiency and has the advantage of analytical solution for nonlinear dynamic analysis; moreover, it provides great convenience for controller design of the beamlike truss. The novel equivalent nonlinear model is developed by introducing the von Karman nonlinear strain-displacement relationship in the equivalent linear beam model (ELBM).
JOURNAL OF VIBRATION ENGINEERING & TECHNOLOGIES
(2022)
Article
Engineering, Multidisciplinary
Mei Liu, Dengqing Cao, Dongfang Zhu
Summary: A novel equivalent dynamic model is developed for coupled vibration analysis of the space antenna truss, providing accurate solutions for the governing partial differential equations formulated based on Hamilton's principle. The natural characteristics of the model are in excellent agreement with finite element method results, demonstrating satisfactory accuracy for the antenna truss. The mode shapes expressed as analytical functions of spatial coordinate may lead to convenient investigations of dynamic properties and design of vibration control laws.
APPLIED MATHEMATICAL MODELLING
(2021)
Article
Engineering, Civil
Zhi Wang, Yahui Zhang, Zhaohong Qin
Summary: This paper proposes a fast estimation method for the high-cycle fatigue of geometrically nonlinear thin-walled structures under random loading. The method utilizes a modified equivalent linearization method to obtain the statistical properties of the modal displacement response and transform them into stress samples to determine the peak probability density function of the von Mises stress. Three critical issues are addressed in implementing the method: incorporating the membrane softening effect, deriving a nonlinear relationship between modal displacement and stress, and simplifying the probability density function of the joint distribution.
THIN-WALLED STRUCTURES
(2023)
Article
Acoustics
Jen-San Chen, Sin-Yin Chen, Wei-Zhe Hsu
Summary: The study investigates the impact of nonlinear terms arising from exact geometry on the dynamic response of the mass-beam-foundation system. It focuses on scenarios where the moving speed of the point mass exceeds the critical speed. By discretizing the partial differential equation of motion using a harmonic expansion method, the feasibility of the technique is verified. In the nonlinear system, the dynamic response eventually settles into a steady state of periodic motion as the beam behaves like a hardening spring.
JOURNAL OF SOUND AND VIBRATION
(2021)
Article
Engineering, Mechanical
Mingxiang Ling, Lei Yuan, Xianmin Zhang
Summary: This paper presents a dynamic beam constraint model (DBCM) for the nonlinear kinetostatics and large-amplitude vibration analyses of moderately large-stroke compliant mechanisms. The DBCM derives the closed-form equation of flexure beams in the frequency domain, including the P-Delta effects. It introduces a matrix-based modeling methodology and a step-by-step iteration procedure for calculating the nonlinear performance of general planar compliant mechanisms with serial-parallel configurations.
MECHANISM AND MACHINE THEORY
(2024)
Article
Engineering, Mechanical
Patricia Vanova, Zhen Sun, Odin-Eliott Odinson, Zhiyu Jiang
Summary: Structural health monitoring is crucial for maintaining and extending the lifespan of bridges under complex loading conditions and damage scenarios. This study applies vibration-based methods to monitor the structural health of a Warren-type truss bridge. By obtaining natural frequencies and modal shapes through modal identification, and using a calibrated numerical model, damage scenarios are simulated to assess the dynamic responses of the bridge. The analysis shows that damaged members exhibit significant changes in accelerations, particularly in locations near their supports.
ENGINEERING FAILURE ANALYSIS
(2023)
Article
Engineering, Multidisciplinary
Lanfeng Deng, Mu-Qing Niu, Jian Xue, Li-Qun Chen
Summary: This paper introduces a two-dimensional corotational curved beam element for the dynamic analysis of curved viscoelastic beams, utilizing a curved reference configuration to measure the pure elastic deformation and a curvilinear coordinate system to measure the local deformation of the element. The global elastic force vector, internal damping force vector, inertia force vector, and external damping force vector are derived using the same shape functions based on Hamilton's principle. The accuracy and computational efficiency of the formulation are verified through three examples, while also investigating the effects of internal and external damping on the dynamic response of a rotating curved beam.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2023)
Article
Computer Science, Interdisciplinary Applications
Xiangji Li, Jihong Zhu, Jie Wang, Weihong Zhang
Summary: This work proposes a topology optimization method for prestressed cable-truss structures considering geometric nonlinearity. It establishes a multi-node cable element model based on the large deformation kinematics theory, which fully considers the geometric nonlinearity caused by external loads and prestress. The method's feasibility and reliability are demonstrated in 2D and 3D numerical examples.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2023)
Article
Construction & Building Technology
Shaoqin Wang, Xing Wan, Minghao Guo, Hong Qiao, Nan Zhang, Qing Ye
Summary: A dynamic interaction model of the wind-train-bridge system considering the geometric nonlinear factors of a long-span suspension bridge is developed. A self-written program is used to compare the linear and nonlinear vibration responses of the bridge under the simultaneous action of train and wind loads. The research findings can provide references for the safe operation and maintenance of long-span bridges.
Article
Engineering, Mechanical
Kyriakos Alexandros Chondrogiannis, Vasilis Dertimanis, Boris Jeremic, Eleni Chatzi
Summary: This study develops a scheme called the NegSV device that utilizes a geometrically nonlinear mechanism to create a negative stiffness system for vibration attenuation. The device successfully alters the stiffness characteristics of the primary system and improves the overall dynamics without additional mass requirements. Experimental testing on a 3-dimensional frame structure demonstrates a reduction in acceleration and inter-storey drift response below the retrofit, while nonlinear finite element analyses show agreement with the experimental measurements and offer potential for further improvement of the mechanism's design. The proposed nonlinear device shows significant potential in attenuating structural vibration and offers ease of installation.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2023)
Article
Engineering, Mechanical
Jiang Shi, Xiang Liu, Guo-Ping Cai, Liang-Liang Lv, Guang-Qiang Fang, Chao-Lan You, Sai-Jin Yao
Summary: In this paper, an equivalent force method is proposed to solve the problem of using the equivalent beam model for the control design of the original truss structure. The main achievement is to convert the external forces acting on the original truss structure into the equivalent beam model to obtain the equivalent forces. Hence, the control force of the actuator in the original truss structure is obtained by the control design of the equivalent beam model, which makes the vibration of the original truss structure controlled. Finally, the numerical simulation arithmetic example shows that the control force acting on the equivalent model is different from the force acting on the original truss structure, further demonstrating the necessity and validity of the proposed method.
ACTA MECHANICA SINICA
(2023)
Article
Engineering, Mechanical
Shi Jiang, Guo-Ping Cai
Summary: This paper proposes an extended linear equivalent method to analyze the nonlinear vibration of large space truss structures. It also presents a lattice enhancement method to address the buckling problem in space cantilever truss structures. The nonlinear equivalent model is obtained by introducing a corotating coordinate system into the linear equivalent beam model. The accuracy of the model and the effectiveness of the improved cantilever truss structure are validated through numerical simulation examples.
JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS
(2023)
Article
Physics, Multidisciplinary
M. A. Eltaher, Alaa A. Abdelrahman, Ismail Esen
Summary: This article introduces a novel model based on nanomechanics theory to study the dynamic response of carbon nanotubes under moving loads. Through parametric analysis, the model illustrates the influence of various factors on the dynamic responses of CNTs.
EUROPEAN PHYSICAL JOURNAL PLUS
(2021)
Article
Construction & Building Technology
Shaahin Bidmeshki, Alireza Habibi
Summary: A new minimization-based controlled method was proposed to analyze steel plane truss structures undergoing large deformations. The method can directly predict buckling load and displacements, while tracing equilibrium paths accurately. The proposed procedure was validated through comparison with other methods and theoretical solutions, showing robustness and accuracy.
STEEL AND COMPOSITE STRUCTURES
(2021)
Article
Engineering, Aerospace
Jie Sun, Jun Sun, Dongfang Zhu, Xiaoxuan Yan
Summary: This paper proposes a novel orthotropic equivalent plate model (EPM) for describing the nonlinear connections in antenna structures used in spaceflight. The EPM is developed based on the Mindlin plate hypothesis and the principle of energy equivalence, and it accurately represents the torsional and bending vibrations of periodic truss structures. Compared to the equivalent beam model (EBM), the EPM can depict the mechanical characteristics along the cross section more accurately. The EPM expands the scope of continuum equivalent modeling of periodic trusses and is more useful in engineering practice.
AEROSPACE SCIENCE AND TECHNOLOGY
(2023)
Article
Mechanics
Mei Liu, Dengqing Cao, Jipeng Li, Xiaoyun Zhang, Jin Wei
Summary: This study investigates the dynamic modeling and vibration control of large flexible space truss structures. An equivalent dynamic model is established based on the energy equivalence principle, and its accuracy is verified using analytical methods. The designed LQR vibration controller effectively suppresses the vibration of the space truss, demonstrating the usefulness of the established equivalent beam model.
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)