2023 Vol. 44, No. 12

The Seventh QIAN Lingxi Computational Mechanics Youth Award Invited Paper
A Research Review of Ship Mechanical Vibration Damping & Isolation Technologies and Algorithms
TANG Huaicheng, YANG Yini, LIU Ye, ZOU Mingsong
2023, 44(12): 1413-1427. doi: 10.21656/1000-0887.440062
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Abstract:
The vibration isolation and absorption technologies for ship mechanical systems were reviewed, such as the concept, the application background, and the research status of floating raft vibration isolation systems and dynamic vibration absorbers. Meanwhile, the concept and development of passive control and active control were also analyzed. The smart materials and new structural forms were summarized. The concept, the working condition and the development of control components such as the quasi-zero stiffness vibration isolator, the acoustic black hole structure, the intelligent material actuator, and the active and semi-active dynamic vibration absorbers, were considered, and the control strategies of the active control were discussed. Besides, the theoretical and numerical methods for modelling, calculating and testing mechanical damping systems were also surveyed. At last, the development trend of the ship mechanical vibration reduction and isolation system was envisioned and portrayed.
Solid Mechanics
Symplectic Superposition-Based Analytical Solutions for Buckling of Non-Lévy-Type Orthotropic Cylindrical Shells
LIU Mingfeng, XU Dian, NI Zhuofan, LI Yihao, LI Rui
2023, 44(12): 1428-1440. doi: 10.21656/1000-0887.440093
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Abstract:
Based on the symplectic superposition method (SSM) pioneered by the authors, the buckling problem of typical non-Lévy-type orthotropic cylindrical shells was solved analytically, which is difficult to handle with conventional analytical methods. The Hamiltonian system-based governing equations for buckling of orthotropic cylindrical shells were firstly established based on Donnell's shell theory. The original problem under non-Lévy-type boundary conditions was then divided into 2 subproblems, and each subproblem was solved with the mathematical techniques incorporating separation of variables and symplectic eigen expansion within the Hamiltonian framework. The analytical solution of the original problem was finally given through the superposition of the sub-solutions to satisfy the boundary conditions of the original problem. The numerical examples under consideration show that, the SSM-based analytical solutions are in good agreement with the finite element results. In addition, the effects of parameters including the length and the thickness on the critical buckling loads were quantitatively studied. Compared with the conventional analytical methods such as the semi-inverse method, the SSM works based on rigorous mathematical derivation without any assumption of the solution forms, and can obtain reliable analytical solutions to more similar issues.
Overall Overturning and Sliding Stability Analysis of Girder Bridges Under Torsion-Slippage Coupling Constraints
TONG Shanghang, XIAO Rucheng, ZHUANG Dongli, SUN Bin
2023, 44(12): 1441-1452. doi: 10.21656/1000-0887.440138
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Abstract:
To analyze the overall overturning and sliding stability of girder bridges with bearing failures, the stiffness matrix of the 7-DOF curved beam element was derived, and the constraint equations for the bearing detachment and slippage failures were presented. The finite element equation with the constraint equations was solved with the Newton-Raphson method. A process of judging the instability modes of girder bridges according to the bearing failures was established, and the corresponding program was compiled. The accuracy of the 7-DOF curved beam element was verified through calculation of a simply supported statically indeterminate curved beam. A curved ramp bridge collapse accident was analyzed with the proposed method. The results show that, the proposed method could more accurately simulate the equilibrium state of the girder bridge under various bearing failure conditions, in comparison with the traditional bar-system finite element model.
Mechanical Behaviors of Subsurface Bifurcating Cracks
SUN Qi, WU Jinbo, JIANG Xiaoyu
2023, 44(12): 1453-1462. doi: 10.21656/1000-0887.440121
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Abstract:
Under complex loads, the distributed dislocation technique (DDT) was used to discuss the bifurcating crack problem in a semi-infinite plane, and its correctness was verified. Based on the criterion for the equivalent stress intensity factor, the cause for crack bifurcation was preliminarily explained. The stress intensity factors of bifurcating cracks under different buried depths, loading ratios, bifurcation length ratios, and bifurcation angles were calculated. The multi-branch bifurcating crack was also calculated, with the results agreeing well with the finite element method. The results show that, the deeper the buried depth is, the more difficult the bifurcating crack propagation will be. When the burial depth reaches d/a=1.5, the stress intensity factor at the bifurcating crack tip will decrease by about 15%. Moreover, the longer branch will greatly inhibit the extension of the short branch. When the crack length ratio of the 2 branches reaches more than b/c=2, the shielding effect will reach more than 50%; In addition, the bifurcation angles and loading ratios will change the dominant propagation mode of bifurcating cracks.
Mechanism Analysis of Wellbore Fracture and Internal Strain State
HU Rui, JIA Xiaofen, ZHAO Baiting, LAN Shihao, LI Dequan
2023, 44(12): 1463-1472. doi: 10.21656/1000-0887.440171
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Abstract:
To study the mutual law between the vertical shaft wall fracture and the internal strain, a physical model for the shaft wall was built to simulate the process and state of the shaft wall stress fracture. The distributed optical fiber technology was used to monitor the internal strain of the shaft wall, and the in-depth analysis was conducted from multiple perspectives of stress and strain. The results show that, for the strain state, the wellbore strain degree will increase with the applied stress. In the wellbore position corresponding to the maximum strain value, the strain degree will reach the maximum value within the range, and the risk of fracture will be the highest. For the stress effect, the larger the deviation between the maximum and minimum strain values of the wellbore under different stresses is, the poorer the wellbore stability will be, and the more likely it will rupture. The analysis of the correlation between stress and strain, and the fitting of the linear equation of strain change at the wellbore position corresponding to each direction angle indicate that, the larger the change rate value is, the bigger the growth rate of wellbore strain will be. For the strain value exceeding the allowable limit, the wellbore is more prone to fracture. Through monitoring of the wellbore strain data and analysis of the strain difference, deviation and strain change rate, and combined with the Lame formula, a wellbore strain rupture relationship model was established. The study provides a new scheme for wellbore rupture warning.
A Hierarchical Aggregation Modelling Method for Mobile Manipulators
DONG Fangfang, YANG Chao, HAN Jiang, ZHANG Xinrong
2023, 44(12): 1473-1490. doi: 10.21656/1000-0887.440025
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Abstract:
The coupling effects of mobile manipulators on the motion characteristics of mobile platforms during the dynamic operation process, would increase the complexity and nonlinearity of the whole system and then bring great challenges to the system modelling. A new hierarchical aggregation modelling method was proposed to solve this issue. The method is based on the hierarchical properties of the Udwadia-Kalaba (UK) theory in the analytical mechanics. First, the mobile manipulator was divided into 3 subsystems, and the unconstrained dynamics of each one was modelled with the Lagrangian equations. Subsequently, the basic Udwadia-Kalaba equations (UKE) were employed to model the overall system, in view of the constraints within the mechanical structure of the mobile manipulator. In addition, the Lyapunov stability-based theory was used to compensate for the initial condition deviations to achieve convergence of the ideal trajectory. Simulation results validate the feasibility of the proposed modelling method.
Molecular Dynamics Simulation of Monolayer Fullerene Membranes for Desalination
LIU Siyi, WANG Liya, XIA Jun, WANG Ruijie, TANG Chun, WANG Chengyuan
2023, 44(12): 1491-1498. doi: 10.21656/1000-0887.440118
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Abstract:
Seawater desalination is one of the most promising solutions to fresh water shortage all over the world. The rapid development of nanotechnology led to the boom of nanoporous membranes for water purification. Recent theoretical and experimental studies reported ultra-high water permeability and salt rejection in nanoporous monolayer graphene. However, the difficulty of precisely creating nanometer-scale pores and controlling their distribution greatly limits its industrial application. Through molecular dynamics (MD) simulation, the monolayer quasi-tetragonal phase fullerene (qTPC60) was found to have tremendous potential as ultra-permeable membranes for desalination due to their unform pore distribution. The monolayer fullerene membranes exhibit high water permeability compared to conventional polymer filtration membranes. The work offers insights into the molecular mechanism of sieving, and the MD simulations show that Na+ and Cl- ions have large energy barriers. This 2D monolayer carbon material with unique structure exhibits great potential in seawater desalination.
Fluid Mechanics
A Coupling Analysis of Rainfall Infiltration and Slope Surface Runoff Based on the Numerical Manifold Method
CHEN Yuanqiang, ZHENG Hong, QU Xin
2023, 44(12): 1499-1511. doi: 10.21656/1000-0887.440115
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Abstract:
The infiltration-runoff processes of slopes during rainfall were of significance in the mechanism study of rainfall-induced landslides, debris flows, and other geological disasters. To realize the numerical simulation of the whole rainfall infiltration-runoff process and further improve the computation efficiency, a coupling model and its total governing equations were derived from the 1D kinematic wave equation and the 2D h-based Richards' equation, with the rainfall infiltration surface deemed as the internal domain of the runoff and the seepage. Then the numerical manifold method (NMM) was used to solve the total governing equations, and the computation program was compiled to simulate the rainfall infiltration-runoff processes of slopes. The numerical analysis results showed that, the coupling model solution is in good agreement with the experimental data and previous results, verifying the validity and reliability of the proposed model. The higher the rainfall intensity is, the earlier the runoff producing time will be; the deeper the ponding depth is, and the wider the influence range on the water distribution within the slope will be. The proposed model can truly reflect the whole rainfall infiltration-runoff process of the slope, and provides a calculation basis for the analysis of various geological disasters induced by rainfall.
Numerical Study on the Collision-Separation Process of Glass Bead Droplets
LI Huiling, HU Xiaolei, YU Zihan, XIE Nenggang
2023, 44(12): 1512-1521. doi: 10.21656/1000-0887.440043
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Abstract:
The coupled level set and volume of fluid (CLSVOF) method was used to simulate the collision process of glass bead droplets with the same diameter, with the physical mechanism during the collision-separation behavior of glass bead droplets mainly studied. Based on the comparative verification with n-tetradecane droplet collision experiments, the morphological changes and energy change patterns of glass bead droplets during the separation process were investigated numerically. The research shows that, the energy required for the collision and separation process of glass bead droplets mainly comes from the kinetic energy and surface energy of the droplets, and most of the kinetic energy would convert into viscous dissipation energy. Through the analysis of the changes of droplet energy and average total pressure, 4 important states of droplet collision and separation were obtained, including the radial stretching to limit, the radial contraction and axial stretching to balance, the axial stretching to limit, and the droplet bridge pinching separation. The velocity and pressure distributions of the 4 states were discussed. The results reveal that, the end pinchoff mechanism is a main cause for droplet collisional separation. The work provides a basis for enriching the theory about glass bead droplet collisions.
Stress Analysis and Evaluation of the High-Temperature High-Pressure Wellbore Hole Simulator
HOU Yongqiang, JI Bin, JIA Guangzheng, GAO Han
2023, 44(12): 1522-1534. doi: 10.21656/1000-0887.440172
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Abstract:
The wellbore hole simulator as a high-temperature high-pressure thick-walled container, is an experimental device used to simulate the high-temperature high-pressure downhole environment of oilfield. Based on thermodynamics and the large eddy simulation (LES) theory, a physical equation was established. The projection method was applied to solve the temperature field governing equation, and the trapezoidal-rule numerical integration was used to solve the thermal stress governing equation. The discrete scheme for the governing equation was given. The fluid-structure-interaction heat transfer was solved with the virtual density method, and the thermal stress, the pressure stress and their coupling effect of the wellbore hole simulator were numerically analyzed under the principle of stress superimposition. The research results indicate that, the wellbore hole simulator with a minimum wall thickness of 0.18 m could meet the strength requirements for high-temperature high-pressure experiments with 400 ℃ and 220 MPa working parameters. The experiments prove the correctness of the established mathematical model and the numerical solution methods, providing a theoretical basis for the design of thick-walled cylinder containers under high-temperature high-pressure conditions.