Article
Mathematics, Applied
Kirill E. Kazakov, Svetlana P. Kurdina
Summary: The article discusses the interaction between a system of rigid punches and a viscoelastic aging foundation covered by nonuniform thin layers of variable thickness. It proposes a mathematical model consisting of mixed integral equations with additional integral conditions. By using a special approach, the article presents an analytical solution in series for different versions of the problem statement. It demonstrates the effectiveness of the solution representation even when the coating layers' properties and contacting surfaces' shape are described by complex functions.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Mathematics, Applied
Adrian P. Bustamante, Alessandra Celletti, Christoph Lhotka
Summary: In this study, we examine the breakdown of rotational invariant tori in 2D and 4D standard maps using three different methods. We analyze the analyticity domains of tori through Lindstedt series expansions and polynomial approximations. We also estimate the breakdown threshold by examining the Sobolev norms. The results show that the Pade and Newton methods perform well, while the Greene method's extension is inconclusive due to computational complexity.
PHYSICA D-NONLINEAR PHENOMENA
(2023)
Article
Engineering, Multidisciplinary
Tao Li, Wen-Bin Shangguan, Zhihong Yin
Summary: This paper presents an error analysis method for measuring the inertia parameters of irregular-shaped rigid bodies using a suspended Trifilar Torsional Pendulum (TTP). The influence of model errors, parameters measurement errors, and coordinate systems measured errors on the measured inertia parameters is discussed, and a method for reducing measurement errors is proposed. The accuracy of the measured inertia tensor is greatly influenced by the initial angular displacement of the TTP, and a validation on powertrain inertia parameters is conducted to confirm the effectiveness of the proposed procedures.
Article
Engineering, Multidisciplinary
Mirco Ciallella, Mario Ricchiuto, Renato Paciorri, Aldo Bonfiglioli
Summary: A new shock-tracking technique is proposed in this study, which combines the unstructured shock-fitting approach with ideas from embedded boundary methods. The method is capable of accurately dealing with complex shock-topologies and various interactions.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Mathematics, Interdisciplinary Applications
Seok-Jin Park, Younghwan Yang, Junhong Jo, Tae-Rin Lee
Summary: In this study, a new method is proposed to simulate fluid-cell interactions by coupling the immersed finite element method with the spring network model. Successful simulation of cell transport and prediction of plasma skimming effect validate the effectiveness of the proposed method.
COMPUTATIONAL PARTICLE MECHANICS
(2022)
Article
Geochemistry & Geophysics
Cheng Chen, Shaofeng Bian, Motao Huang
Summary: This paper presents the elliptical harmonic method for gravity computation of 2D bodies with constant, polynomial, and exponential density distributions. The method converts surface integrals into line integrals for evaluating the gravity field, considering the effects of discontinuities in elliptical coordinates. The method shows convergence, accuracy, and stability in numerical experiments with tested bodies, demonstrating advantages over the circular harmonic approach.
JOURNAL OF GEODESY
(2021)
Article
Engineering, Ocean
Shan Wang, Jorge Gadelho, Hafizul Islam, C. Guedes Soares
Summary: When using OpenFOAM to simulate water impact, attention should be paid to the impact of parameter settings and uncertainty estimation methods on the results.
APPLIED OCEAN RESEARCH
(2021)
Article
Materials Science, Ceramics
Martin Trunec, Jaroslav Kastyl, Premysl Stastny, Stefanie Hildebrandt
Summary: The paper presents the development of unique processing methods for large alumina windows, domes, and thin sheets with high optical transmission. Gelcasting combined with post-hot isostatic pressing is suitable for windows and domes, while thin transparent alumina sheets were prepared by gel-tape casting.
JOURNAL OF THE EUROPEAN CERAMIC SOCIETY
(2021)
Article
Engineering, Chemical
Ado Farsi, Jiansheng Xiang, John-Paul Latham, Mikeal Carlsson, Hugh Stitt, Michele Marigo
Summary: A new component of the combined finite-discrete element method (FDEM) was used to estimate the effects of geometrical features, friction, and energy dissipation parameters on the bulk properties of rigid pellet packs. The study confirmed the applicability of FDEM methods for simulating multi-body problems and provided a basis for further research on multi-physical engineering systems involving catalyst pellets. The numerical simulations matched experimental results, demonstrating the accuracy of the simulated topology of the pellet pack.
Article
Mathematics, Applied
Ziqiang Cheng, Shihao Liu, Yan Jiang, Jianfang Lu, Mengping Zhang, Shuhai Zhang
Summary: In this study, a high order numerical boundary scheme was used to solve complex moving boundary problems, considering both translation and rotation of the body. Numerical examples of cylinder, elliptic cylinder, and NACA0012 airfoil were presented to demonstrate the effectiveness and robustness of the method.
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
(2021)
Article
Engineering, Multidisciplinary
Nuo Lei, Juan Cheng, Chi-Wang Shu
Summary: This paper presents a high-order accurate positivity-preserving conservative remapping algorithm based on WENO reconstruction, which has been demonstrated through a series of numerical experiments to be conservative, positivity-preserving, and efficient.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2021)
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
Construction & Building Technology
Kairu Hou, Dachang Zhang, Jiayi Xu, Jiawei Wang, Jigang Xu
Summary: This study investigates the mechanical characteristics and design method of three special-shaped rigid flanges with different connecting angles. The results show that slip and open deformations occur between the flange plates under axial tensile load, and the connecting bolts bear nonuniform tensile and shear forces. The design method considering the combined tensile and shear forces for connecting bolts and weld lines is provided.
JOURNAL OF CONSTRUCTIONAL STEEL RESEARCH
(2022)
Article
Engineering, Mechanical
Mingxiang Ling, Lei Yuan, Hao Zhou, Minliang Ning
Summary: This paper presents a method to simplify the free vibration analysis of beam structures by modifying the transfer matrix method. Treating beam structures as topological graphs and deriving and standardizing the transfer matrix of typical building blocks makes the complex modeling problem easier to solve. Comparative validation with practical case studies confirms the advantages of this method.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2023)
Article
Engineering, Mechanical
Ling Tao, Yan Li, Zhi-Qiang Feng, Yi-Jin Cheng, Hui-Jian Chen
Summary: This study extends the application of the bi-potential method to solve dynamics problems of rigid bodies involving friction and multiple impacts, presenting a formula for calculating impact impulsion and analyzing the effects of friction and normal restitutive coefficients. The proposed method yields more stable numerical solutions in multibody systems without increasing system degrees of freedom, simplifying programming and reducing computing costs.
NONLINEAR DYNAMICS
(2021)
