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学者姓名：陈小超
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Abstract ：
In this research, the dynamic features of three-directional functionally graded materials (3DFGMs) rectangular parallelepiped with classic/elastic restraints are investigated based on 3D elastic theory. The general boundary conditions are implemented by introducing artificial displacement springs on the chosen surfaces of rectangular solid. The gradient materials are distributed along the two in-plane and thickness directions of parallelepiped. By setting boundary constraints and geometric parameters, the 3DFGMs rectangular parallelepiped can be evolved into slender beam, thick or thin plate, or even a cuboidal solid. Lagrangian energy functions are formulated for parallelepiped-spring system. The free vibration characters of 3DFGMs rectangular parallelepiped are solved employing the Ritz method in conjunction with the Jacobi polynomials. For transient analysis, the analytical expressions of impulse responses are derived for different types of pulsed excitation. The presented modeling and solution methods are validated by comparing with the results from open literature, finite element analysis and experimental results. Numerical simulations are performed to reveal the effect mechanisms of material gradients, geometrical configuration and boundary restraints on the vibration characters of 3DFGMs parallelepiped. The results demonstrate that dynamic performance of rectangular parallelepiped depends critically on material gradient which maybe regarded as regulatory factor to regulate the modal displacement distribution or modal sequence.
Keyword ：
3D elastic theory 3D elastic theory 3DFGMs parallelepiped 3DFGMs parallelepiped dynamic analysis dynamic analysis Elastic restraints Elastic restraints Mode sequence exchange Mode sequence exchange Ritz method Ritz method
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| GB/T 7714 | Chen, Xiaochao , Li, Runbin , Chang, Chengcheng et al. 3D dynamic analysis of elastically restrained multi-directional FGMs rectangular parallelepiped [J]. | INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES , 2025 , 287 . |
| MLA | Chen, Xiaochao et al. "3D dynamic analysis of elastically restrained multi-directional FGMs rectangular parallelepiped" . | INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES 287 (2025) . |
| APA | Chen, Xiaochao , Li, Runbin , Chang, Chengcheng , Cheng, Lin . 3D dynamic analysis of elastically restrained multi-directional FGMs rectangular parallelepiped . | INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES , 2025 , 287 . |
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This study proposes a semi-analytical method for free vibration analysis of typical polyhedral structural elements based on 3D elasticity theory. The polyhedral structures incorporate generalized elastic boundaries modeled using artificial springs to represent boundary stiffness. The material properties of these structures vary according to gradients in multiple directions. The Lagrangian energy function for the polyhedral element is derived within its original irregular physical domain. The proposed method employs a trilinear transformation to map the irregular hexahedral domain into a regular cubic domain, where the Jacobi orthogonal polynomials- based Ritz process is used to determine vibration characteristics. Initially developed for irregular hexahedron, the presented method can also be extended to pentahedral and tetrahedral structures, such as triangular plates/prisms and quadrilateral/triangular pyramids, which can be viewed as special cases of hexahedron with some coincident vertices. This extends the applicability of the proposed method beyond the regular physical domains handled by the classical Ritz method. Mover,the presented method leverages three-dimensional elasticity theory without displacement field assumptions, enabling it to handle polyhedron with various geometric characteristics including solids, plates and prisms. The validity of method is demonstrated by comparing its results with finite element analysis and open literature. Numerical simulations on MDFGMs parallelogram plate reveal the effects of material gradients, geometric configurations, and boundary restraints on vibration characteristics. The results have, for the first time, demonstrated that variations in material gradients within structural elements can alter the modal sequence.
Keyword ：
3D elastic theory 3D elastic theory Elastic edge restraints Elastic edge restraints Free vibration Free vibration MDFGMs polyhedral structures MDFGMs polyhedral structures Trilinear transformation Trilinear transformation
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| GB/T 7714 | Chen, Xiaochao , Li, Runbin , Chang, Chengcheng et al. Semi-analytical free vibration analysis of multi-directional functionally graded materials (MDFGMs) irregular polyhedral structural elements with generalized elastic boundaries [J]. | COMPOSITE STRUCTURES , 2025 , 355 . |
| MLA | Chen, Xiaochao et al. "Semi-analytical free vibration analysis of multi-directional functionally graded materials (MDFGMs) irregular polyhedral structural elements with generalized elastic boundaries" . | COMPOSITE STRUCTURES 355 (2025) . |
| APA | Chen, Xiaochao , Li, Runbin , Chang, Chengcheng , Cheng, Lin . Semi-analytical free vibration analysis of multi-directional functionally graded materials (MDFGMs) irregular polyhedral structural elements with generalized elastic boundaries . | COMPOSITE STRUCTURES , 2025 , 355 . |
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As a high-temperature resistant damping material, reducing vibration by coating with M-shape metal rubber (MMR) in a pipeline system is a promising solution due to its energy dissipation induced by micro dry friction between metallic wires. The main challenge for dynamic calculation and performance evaluation of elastic-porous metal rubber (MR) is derived from the intricate spatial network structure. In this work, the dynamic properties including acceleration admittance and insertion loss of the MMR-coated pipeline system were conducted by numerical simulation and experimental analysis. The constitutive models used to characterize hysteresis phenomena, including Yeoh and Bergström-Boyce models, were identified with different density parameters and adopted for steady-state dynamic numerical analysis. The sine sweep frequency test was conducted to verify the accuracy of the developed numerical model. The results indicate that the maximum error of stress-strain curve between numerical prediction and experimental measurement is 10.7%. In the frequency range of 0-1 500 Hz, the insertion loss of the MMR-coated pipeline system is positively correlated with the density of MMR, as opposed to the coating distance of pipeline clamps and the influence of excitation force is minimal. Furthermore, the error of dynamic response of the pipeline system in low frequency between the experiment and simulation is 4.7%, indicating that the accuracy of the hysteresis model in predicting the dynamic characteristic of MR materials is effective. © 2025 World Scientific Publishing Company.
Keyword ：
dynamic characteristics dynamic characteristics elastic-porous metal rubber elastic-porous metal rubber Hysteresis model Hysteresis model pipeline system pipeline system
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| GB/T 7714 | Chen, Y. , Ge, S. , Liu, J. et al. Dynamic Characteristics of M-Shape Metal Rubber-Coated Pipeline System: Numerical Modeling and Experimental Analysis [J]. | International Journal of Structural Stability and Dynamics , 2024 . |
| MLA | Chen, Y. et al. "Dynamic Characteristics of M-Shape Metal Rubber-Coated Pipeline System: Numerical Modeling and Experimental Analysis" . | International Journal of Structural Stability and Dynamics (2024) . |
| APA | Chen, Y. , Ge, S. , Liu, J. , Chen, X. , Xue, X. . Dynamic Characteristics of M-Shape Metal Rubber-Coated Pipeline System: Numerical Modeling and Experimental Analysis . | International Journal of Structural Stability and Dynamics , 2024 . |
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The ship base is a structure that connects the equipment to the hull and may play a role in restraining and isolating the dynamic load. Adding damping on the base to improve the vibration isolation performance is an important measure to control ship vibration. In this research, the energy transfer route and vector cloud of the ship base were analyzed employing the power flow theory, and then the placement of the particle damper was determined. Through the discrete optimization of different particle parameters including the particle material, diameter and filling rate, the best vibration reduction effect was acquired. The simulation and experiment results show that the particle damping has obvious damping effect, and the steel particle has better damping effect than the lead particle and the aluminum particle. The change of particle filling rate influences the vibration characteristics, and the best effect is achieved when the filling rate is 82%. The vibration reduction performance relies strongly on particle diameters, and they all exert obvious vibration suppression effect at the peak acceleration admittance. The proposed discrete optimization strategy effectively saves experiment cost, and the presented particle damper may be traded as an optional scheme in vibration reduce treatment of ship base. © 2024
Keyword ：
Acceleration admittance Acceleration admittance Discrete optimization Discrete optimization Particle damping Particle damping Power flow Power flow Ship base Ship base
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| GB/T 7714 | Wu, Y. , Dai, Q. , Liu, H. et al. Ship base vibration reduction design technology based on visualization of power flow and discrete optimization [J]. | Ocean Engineering , 2024 , 309 . |
| MLA | Wu, Y. et al. "Ship base vibration reduction design technology based on visualization of power flow and discrete optimization" . | Ocean Engineering 309 (2024) . |
| APA | Wu, Y. , Dai, Q. , Liu, H. , Tang, Y. , Chen, X. . Ship base vibration reduction design technology based on visualization of power flow and discrete optimization . | Ocean Engineering , 2024 , 309 . |
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Abstract ：
In the present work, a novel entangled metallic wire material (EMWM) with good mechanical properties and electrical conductivity was developed by using beryllium bronze alloy wire as raw material. A series of thermalmechanical-electrical coupling tests were carried out to investigate the mechanical properties (average stiffness, loss factor) and electrical conductivity of beryllium bronze alloy entangled metallic wire material (QBe2-EMWM) and austenitic stainless steel entangled metallic wire material (304-EMWM). The effect of the density and ambient temperature on mechanical performances and resistance properties of EMWM were analyzed in detail. It is found that the mechanical properties of QBe2-EMWM are similar to those of austenitic stainless steel entangled metallic wire material (304-EMWM). The electrical resistance of EMWM decreases with the increase of density. Moreover, the electrical resistance of QBe2-EMWM is significantly lower than 304-EMWM and is only 5 % of 304-EMWM. In the aspect of theoretical modeling, based on a cube unit-cell approach, a simplified electrical resistor network was derived from modeling low-frequency current flow through the EMWM. Considering the influence of ambient temperature, the simplified resistor network model was modified by referring to the temperature term of the Johnson -Cook model, and then the conductivity model considering temperature effect for EMWM was established. The accuracy of the theoretical electrical model of EMWM was verified by comparing the calculated results with the experimental data. The results show that the proposed model can adequately predict the electrical conductivity characteristics of EMWM under different temperatures.
Keyword ：
Beryllium bronze alloy Beryllium bronze alloy Electrical conductivity Electrical conductivity Entangled metallic wire material Entangled metallic wire material High temperature High temperature Mechanical behavior Mechanical behavior Thermal-mechanical-electrical coupling test Thermal-mechanical-electrical coupling test
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| GB/T 7714 | Wu, Yiwan , Rao, Zhiqiang , Chen, Xiaochao et al. Mechanics behaviors and electrical conductivity of beryllium bronze alloy entangled metallic wire material: Experimental study and theoretical modeling [J]. | JOURNAL OF MATERIALS RESEARCH AND TECHNOLOGY-JMR&T , 2024 , 29 : 728-737 . |
| MLA | Wu, Yiwan et al. "Mechanics behaviors and electrical conductivity of beryllium bronze alloy entangled metallic wire material: Experimental study and theoretical modeling" . | JOURNAL OF MATERIALS RESEARCH AND TECHNOLOGY-JMR&T 29 (2024) : 728-737 . |
| APA | Wu, Yiwan , Rao, Zhiqiang , Chen, Xiaochao , Wang, Ran , Bai, Hongbai . Mechanics behaviors and electrical conductivity of beryllium bronze alloy entangled metallic wire material: Experimental study and theoretical modeling . | JOURNAL OF MATERIALS RESEARCH AND TECHNOLOGY-JMR&T , 2024 , 29 , 728-737 . |
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Abstract ：
The ship base is a structure that connects the equipment to the hull and may play a role in restraining and isolating the dynamic load. Adding damping on the base to improve the vibration isolation performance is an important measure to control ship vibration. In this research, the energy transfer route and vector cloud of the ship base were analyzed employing the power flow theory, and then the placement of the particle damper was determined. Through the discrete optimization of different particle parameters including the particle material, diameter and filling rate, the best vibration reduction effect was acquired. The simulation and experiment results show that the particle damping has obvious damping effect, and the steel particle has better damping effect than the lead particle and the aluminum particle. The change of particle filling rate influences the vibration characteristics, and the best effect is achieved when the filling rate is 82%. The vibration reduction performance relies strongly on particle diameters, and they all exert obvious vibration suppression effect at the peak acceleration admittance. The proposed discrete optimization strategy effectively saves experiment cost, and the presented particle damper may be traded as an optional scheme in vibration reduce treatment of ship base.
Keyword ：
Acceleration admittance Acceleration admittance Discrete optimization Discrete optimization Particle damping Particle damping Power flow Power flow Ship base Ship base
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| GB/T 7714 | Wu, Yiwan , Dai, Qihang , Liu, Hongfei et al. Ship base vibration reduction design technology based on visualization of power flow and discrete optimization [J]. | OCEAN ENGINEERING , 2024 , 309 . |
| MLA | Wu, Yiwan et al. "Ship base vibration reduction design technology based on visualization of power flow and discrete optimization" . | OCEAN ENGINEERING 309 (2024) . |
| APA | Wu, Yiwan , Dai, Qihang , Liu, Hongfei , Tang, Yu , Chen, Xiaochao . Ship base vibration reduction design technology based on visualization of power flow and discrete optimization . | OCEAN ENGINEERING , 2024 , 309 . |
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Abstract ：
As a high-temperature resistant damping material, reducing vibration by coating with M-shape metal rubber (MMR) in a pipeline system is a promising solution due to its energy dissipation induced by micro dry friction between metallic wires. The main challenge for dynamic calculation and performance evaluation of elastic-porous metal rubber (MR) is derived from the intricate spatial network structure. In this work, the dynamic properties including acceleration admittance and insertion loss of the MMR-coated pipeline system were conducted by numerical simulation and experimental analysis. The constitutive models used to characterize hysteresis phenomena, including Yeoh and Bergstr & ouml;m-Boyce models, were identified with different density parameters and adopted for steady-state dynamic numerical analysis. The sine sweep frequency test was conducted to verify the accuracy of the developed numerical model. The results indicate that the maximum error of stress-strain curve between numerical prediction and experimental measurement is 10.7%. In the frequency range of 0-1 500Hz, the insertion loss of the MMR-coated pipeline system is positively correlated with the density of MMR, as opposed to the coating distance of pipeline clamps and the influence of excitation force is minimal. Furthermore, the error of dynamic response of the pipeline system in low frequency between the experiment and simulation is 4.7%, indicating that the accuracy of the hysteresis model in predicting the dynamic characteristic of MR materials is effective.
Keyword ：
dynamic characteristics dynamic characteristics elastic-porous metal rubber elastic-porous metal rubber Hysteresis model Hysteresis model pipeline system pipeline system
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| GB/T 7714 | Chen, Yilin , Ge, Shaoxiang , Liu, Jianchao et al. Dynamic Characteristics of M-Shape Metal Rubber-Coated Pipeline System: Numerical Modeling and Experimental Analysis [J]. | INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS , 2024 . |
| MLA | Chen, Yilin et al. "Dynamic Characteristics of M-Shape Metal Rubber-Coated Pipeline System: Numerical Modeling and Experimental Analysis" . | INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS (2024) . |
| APA | Chen, Yilin , Ge, Shaoxiang , Liu, Jianchao , Chen, Xiaochao , Xue, Xin . Dynamic Characteristics of M-Shape Metal Rubber-Coated Pipeline System: Numerical Modeling and Experimental Analysis . | INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS , 2024 . |
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This work aims to identify ways for the equivalent material parameters of metal-rubber (MR), as well as the establishment of theoretical and numerical methods for sandwich cylindrical shells with metal-rubber core (SCSMR) under thermal conditions. To achieve this goal, the first-order shear deformation theory and Hamiltonian principle are used to derive equations and expressions that consider temperature variations and elastic boundary constraints. This leads to the development of a novel dynamic model for sandwich cylindrical shell structures in a thermal environment. Furthermore, the study analyzes how vibration frequencies are affected by boundary spring stiffness and axial truncation number of displacement-permitted functions using the Jacobi-Ritz method. The impact of aspect ratio, core layer thickness ratio, and temperature on the vibration frequencies of SCS-MR is discussed. The results indicate that temperature slightly affects the frequency of SCS-MR. As the aspect ratio increases, the vibration frequency tends to decrease, irrespective of the circumferential wave number. However, the circumferential wave number plays a considerable role on vibration frequency associated with the core layer thickness ratio.
Keyword ：
Dynamic modeling Dynamic modeling Jacobi-Ritz Jacobi-Ritz Metal-rubber Metal-rubber Sandwich cylindrical shell Sandwich cylindrical shell
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| GB/T 7714 | Wu, Fang , Wei, Yuhan , Wu, Ruixian et al. Dynamic modeling and vibration characteristics of sandwich cylindrical shell with metal-rubber core [J]. | STRUCTURES , 2024 , 63 . |
| MLA | Wu, Fang et al. "Dynamic modeling and vibration characteristics of sandwich cylindrical shell with metal-rubber core" . | STRUCTURES 63 (2024) . |
| APA | Wu, Fang , Wei, Yuhan , Wu, Ruixian , Chen, Xiaochao , Shao, Yichuan , Xue, Xin . Dynamic modeling and vibration characteristics of sandwich cylindrical shell with metal-rubber core . | STRUCTURES , 2024 , 63 . |
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This paper investigates the free vibration, buckling and dynamic stability of spinning bi-directional functional gradient materials (BDFGMs) conical shells. The material properties vary along the thickness and axial direction. The dynamics model is established based on the first-order shear deformation theory and the governing equations and boundary conditions of the conical shell are derived employing Hamilton's principle. Subsequently, the differential quadrature (DQ) method is employed to discretize the governing equations into an algebraic system of equations for solving and analyzing the free vibration characteristics of the conical shell. The theoretical model's accuracy and the solution method's reliability are rigorously verified. The effects of temperature, functional gradient index, and rotation on the vibration characteristics, traveling wave vibration and critical speed of the conical shell in a thermal environment are systematically explored through numerical analysis. The results indicate that both the material gradient index and temperature increase lead to a decrease in the shell's natural frequency. For the spinning BDFGMs shell, elevated temperature causes the occurrence of trailing wave vibration to advance to the critical speed. Centrifugal force emerges as the primary factor influencing the critical buckling load and unstable region variation of the spinning shell.
Keyword ：
Bi-directional functionally gradient material Bi-directional functionally gradient material free vibration free vibration spinning, conical shell spinning, conical shell stability stability
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| GB/T 7714 | Chen, Xiaochao , Gao, Qing , Huang, Songbing et al. Vibration, Buckling and Stability Analyses of Spinning Bi-Directional Functionally Graded Conical Shells [J]. | INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS , 2024 , 25 (01) . |
| MLA | Chen, Xiaochao et al. "Vibration, Buckling and Stability Analyses of Spinning Bi-Directional Functionally Graded Conical Shells" . | INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS 25 . 01 (2024) . |
| APA | Chen, Xiaochao , Gao, Qing , Huang, Songbing , Chen, Kangni , Wu, Yiwan . Vibration, Buckling and Stability Analyses of Spinning Bi-Directional Functionally Graded Conical Shells . | INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS , 2024 , 25 (01) . |
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Common studies on entangled metallic wire material (EMWM) lack exploration of the material's electrical conductivity. This paper focuses on the dynamic mechanical properties, electrical conductivity and fatigue properties of Beryllium bronze alloy wrapped wire material (QBe2-EMWM) with excellent electrical conductivity. Three batches of 304-EMWM and QBe2-EMWM with different densities are tested under cyclic dynamic loading, and average dynamic stiffness, loss factor, and resistance are calculated. The experimental results show that the dynamic mechanical properties and electrical conductivity of EMWM are significantly affected by the density of EMWM. The loss factor of EMWM increases with the increase of excitation frequency and excitation amplitude, while the average dynamic stiffness is the opposite. The resistance of QBe2-EMWM is only 5% of that of 304-EMWM. Furthermore, an EMWM fatigue life assessment method based on damage factors is proposed. The fatigue life of EMWM is determined by considering the damage trend of average dynamic stiffness, loss factor, and resistance. The stiffness and resistance of EMWM increase with the increase of excitation times, while the loss factor is the opposite. When the number of excitations reaches a certain value, the mechanical and electrical indexes of EMWM is regionally stable. SEM observations show that the failure modes of 304-EMWM are frictional wear and friction debris, while the failure modes of QBe2-EMWM are indentation, friction debris, frictional wear, and fracture. The cumulative damage model is established, and the rationality of the model is verified by experimental data.
Keyword ：
conductivity conductivity dynamic mechanical behavior dynamic mechanical behavior entangled metallic wire material entangled metallic wire material fatigue property fatigue property SEM SEM
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| GB/T 7714 | Wu, Yiwan , Rao, Zhiqiang , Chen, Xiaochao et al. Experimental Investigation on Mechanical, Electrical, and Fatigue Properties of Entangled Metal Wires under Cyclic Dynamic Load Test [J]. | JOURNAL OF MATERIALS ENGINEERING AND PERFORMANCE , 2024 , 34 (8) : 7001-7015 . |
| MLA | Wu, Yiwan et al. "Experimental Investigation on Mechanical, Electrical, and Fatigue Properties of Entangled Metal Wires under Cyclic Dynamic Load Test" . | JOURNAL OF MATERIALS ENGINEERING AND PERFORMANCE 34 . 8 (2024) : 7001-7015 . |
| APA | Wu, Yiwan , Rao, Zhiqiang , Chen, Xiaochao , Wang, Ran , Bai, Hongbai . Experimental Investigation on Mechanical, Electrical, and Fatigue Properties of Entangled Metal Wires under Cyclic Dynamic Load Test . | JOURNAL OF MATERIALS ENGINEERING AND PERFORMANCE , 2024 , 34 (8) , 7001-7015 . |
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