Article
Engineering, Mechanical
Hussein Sayed, T. A. El-Sayed
Summary: This work introduces a novel method for evaluating nonlinear bearing forces, which is used to investigate the stability and bifurcations of an elastic rotor-bearing model. The results show good agreement with existing methods and numerical solutions, confirming the accuracy of the proposed method.
TRIBOLOGY INTERNATIONAL
(2022)
Article
Engineering, Mechanical
Amin Moslemi, S. E. Khadem, Mostafa Khazaee, Atoosa Davarpanah
Summary: This paper investigates the forced vibration and dynamic stability of a simply supported axially moving beam coupled to a nonlinear energy sink for passive vibration control. The results show that increasing the beam velocity reduces the saddle node and Hopf bifurcations boundaries, as well as the absorber performance. Additionally, the excitation frequency entering the SMR region decreases with increasing beam velocity and external force magnitude.
NONLINEAR DYNAMICS
(2021)
Article
Engineering, Mechanical
T. A. El-Sayed, Michael I. Friswell, Hussein Sayed
Summary: In this study, four-dimensional polynomial functions are used to model the nonlinear hydrodynamic force in rotor-bearing systems. The results show that this modeling approach provides favorable agreement with the direct solution of the Reynolds equation in both perturbation analysis and dynamic analysis. Furthermore, this method significantly reduces the computational time required to solve the dynamics of rotor-bearing systems compared to solving the Reynolds equation at each timestep.
TRIBOLOGY INTERNATIONAL
(2023)
Article
Engineering, Mechanical
V Eclerova, L. Pribylova, A. E. Botha
Summary: Nonlinear problems involving phases are common in applied mathematics and physics, and pose a challenge for numerical analysis. This paper proposes a method to transform these problems into structurally stable generalized systems, allowing for easier analysis using standard numerical continuation techniques. The method involves replacing harmonic terms with supercritical Hopf bifurcation normal form subsystems to achieve structural stability. The approach is illustrated using the ac-driven, Stewart-McCumber model of a single Josephson junction, and the findings show the presence of a two-parameter Hopf-Hopf bifurcation and its connection to the Neimark-Sacker bifurcation of limit cycles. The results also provide a complete understanding of the overlapping Arnold tongues and their relation to the Shapiro steps observed in the junction's current-voltage characteristics.
NONLINEAR DYNAMICS
(2023)
Article
Mathematics, Applied
Lei Shi, Longxing Qi, Bin Ding
Summary: In this study, a respiratory disease model is established to consider both direct and indirect infection scenarios. The conditions for equilibrium existence and stability of endemic equilibria are obtained. The research shows that both direct and indirect infection methods have a significant influence on the dynamical behaviors of the respiratory disease system.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Computer Science, Interdisciplinary Applications
Major Murtala Bello Aliyu, Ali Audu Baidu, Bala Ma'aji Abdulhamid, Mohammed Olanrewaju Ibrahim, Fu'ad Muhammad Mukhtar
Summary: The study examines the impact of morally upright individuals and attacks on soft targets on the coexistence dynamics of society. A system of ordinary differential equations is used to simulate the interaction of individuals in the community, revealing the emergence of various types of bifurcation. Analysis using morally upright individuals and attacks on soft targets as bifurcation parameters shows the presence of a global attractor that serves as a synchronization center for the model. The study also discovers a transition from stable to unstable limit cycles under different coexistence factors.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2023)
Article
Mechanics
Chandan Kumar, Somnath Sarangi
Summary: Theoretical investigation on the planar dynamics of a rotor supported by self-acting gas-lubricated journal bearing system revealed the effects of whirling and critical parameter ranges for safe operation. Analysis of dynamic behavior under varying parameters demonstrated stability and limit cycle oscillations under different conditions. Results were validated through numerical integration of trajectories for different initial conditions, showing equilibrium point bifurcation and limit cycle bifurcations in the system dynamics.
MECHANICS RESEARCH COMMUNICATIONS
(2022)
Article
Mathematics, Applied
Linyi Ma, Dongpo Hu, Zhaowen Zheng, Cui-Qin Ma, Ming Liu
Summary: This paper discusses a mathematical model that describes the interaction of malignant glioma cells, macrophages, and glioma specific CD8+T cells. The biologically feasible equilibria and local stability are deduced. The bifurcations and related dynamical behaviors of the model are thoroughly studied. The existence of transcritical and saddle-node bifurcations are derived based on Sotomayor's theorem, and Hopf bifurcation is well discussed. The codimension 2 bifurcation, such as Bogdanov-Takens bifurcation, is investigated using the normal form theory and center manifold theorem in more detail. Finally, numerical simulations are performed to validate the analytical findings by varying the parameters.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2023)
Article
Engineering, Civil
Morteza Khoshroo, Mojtaba Eftekhari
Summary: Bifurcation analysis was used to investigate the dynamics of a spinning pipe conveying fluid with pulsation. The study found the existence of double jump, saddle node, and Hopf bifurcations for different values of fluid velocity through numerical integration.
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS
(2021)
Article
Computer Science, Interdisciplinary Applications
Bapin Mondal, Uttam Ghosh, Md Sadikur Rahman, Pritam Saha, Susmita Sarkar
Summary: This study focuses on analyzing the stability and local bifurcations of an imprecise prey-predator system under uncertain environment. Theoretical and numerical analyses were conducted to study the dynamics of the proposed imprecise model, leading to some biological implications.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2022)
Article
Engineering, Mechanical
Nuntaphong Koondilogpiboon, Tsuyoshi Inoue
Summary: An efficient numerical method was developed for nonlinear rotordynamics analysis of a flexible rotor supported by a four-lobe flexure pivot tilting pad journal bearing. The method showed that the onset speed of instability of the FPTPJB is higher than that of the JB, and the JB in LOP orientation has a higher OSI than the LBP counterpart. Nonlinear calculation results indicated that all bearing types and orientations gave subcritical Hopf bifurcation.
JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER-TRANSACTIONS OF THE ASME
(2021)
Article
Green & Sustainable Science & Technology
Banamali Maji, Samares Pal
Summary: The number of coral reefs is decreasing due to environmental and anthropogenic reasons, with Pterois volitans adding additional stress by decreasing herbivorous fish numbers. Algal overgrowth interferes with coral growth as they grow together on algal turfs. Parrotfish play a crucial role in coral enhancement by grazing, and this study analyzes the dynamics of the system with parrotfish and P. volitans as prey and predator respectively. The impact of prey refuge is considered, and stable coexistence regions for different parameter spaces are formulated and verified through numerical simulations.
ENVIRONMENT DEVELOPMENT AND SUSTAINABILITY
(2022)
Article
Engineering, Mechanical
Liping Wang, Hongyong Zhao
Summary: This study established a new Zika transmission model to investigate the impact of contaminated aquatic environments on the spread of the virus, revealing the significant role of transmission force and exploring the disease transmission characteristics under different incidence functions.
NONLINEAR DYNAMICS
(2021)
Article
Engineering, Mechanical
Jan Rendl, Miroslav Byrtus, Stepan Dyk, Lubos Smolik
Summary: This work investigates the impact of forces due to rotating unbalance and pressure gradients in the oil film on rotating machinery supported on journal bearings. The analysis focuses on the sub-synchronous motion of a rigid rotor supported on cylindrical journal bearings at rotor speeds lower than the threshold speed for oil whirl. It is found that sub-synchronous vibration can occur before reaching the threshold speed and that the underlying period-doubling bifurcation depends on the amount of rotating unbalance. The rotor response and stability are analyzed using a numerical continuation method and validated through time simulations.
NONLINEAR DYNAMICS
(2023)
Article
Mathematics, Interdisciplinary Applications
Linhe Zhu, Wenxin Zheng, Shuling Shen
Summary: This paper studies a rumor transmission model with a nonlinear transmission rate and a non-smooth threshold transmission function based on the classical SI infectious disease model. The existence of model solutions is proven and the number of non-negative equilibrium points is obtained. The equilibrium points' characteristic equations are discussed by dividing the model into spatially homogeneous and inhomogeneous parts with continuous and discontinuous, and the conditions for Saddle-node bifurcation, Turing bifurcation, and Hopf bifurcation are obtained under the corresponding conditions. Finally, the simulation results further verify the feasibility of the theoretical calculation results.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Materials Science, Characterization & Testing
M. A. Degtyarev, A. V. Shapoval, V. V. Gusev, K. V. Avramov, V. N. Sirenko
STRENGTH OF MATERIALS
(2019)
Article
Mechanics
Konstantin Avramov, Balzhan Kabylbekova
Editorial Material
Acoustics
Francesco Pellicano, Matteo Strozzi, Konstantin V. Avramov
SHOCK AND VIBRATION
(2019)
Article
Materials Science, Characterization & Testing
M. A. Degtyarev, K. V. Avramov
STRENGTH OF MATERIALS
(2019)
Article
Engineering, Industrial
Tatiana Romanova, Yuri Stoyan, Alexandr Pankratov, Igor Litvinchev, Konstantin Avramov, Marina Chernobryvko, Igor Yanchevskyi, Irina Mozgova, Julia Bennell
Summary: The paper studies the layout problem of ellipses with variable sizes placed into an arbitrary disconnected polygonal domain with maximum packing factor. Mathematical modelling tools for placement constraints are introduced, and a new solution algorithm involving feasible starting point algorithm and optimization procedure is developed to search for locally optimal solutions. The algorithm can be used in the design of support-free additive manufacturing parts, with consideration for static/dynamic strength conditions.
INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH
(2021)
Article
Engineering, Mechanical
K. Avramov, D. Myrzaliyev, B. Uspensky, N. Sakhno, K. K. Seitkazenova
Summary: The study examines the static buckling of a functionally graded carbon nanotubes reinforced composite joined spherical-cylindrical-spherical thin-walled structure under axial and lateral distributed loads. The Ritz method and higher-order shear deformation theory are utilized to analyze the structure, exploring the influences of CNTs distributions and volume fractions on the buckling axial load.
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE
(2021)
Article
Engineering, Aerospace
M. A. Degtyarev, K. Avramov, D. Akimov, A. Kostikov
Summary: This study analyzed the transient stress-strain state and temperature field of a retention compartment, obtained transient thermal boundary conditions based on empirical criterion equations, and calculated the stress-strain state with elastoplastic deformations using the finite element method. The conclusions about the strength of the retention compartment were made based on the analysis.
JOURNAL OF AEROSPACE ENGINEERING
(2021)
Article
Materials Science, Composites
B. Uspensky, I. Derevianko, K. Avramov, O. Polishchuk, A. Salenko
Summary: This study investigates the fatigue behavior of sandwich plates with flexible honeycomb cores manufactured by fused deposition modeling (FDM). A methodology combining vibration tests and finite element simulations is proposed for fatigue analysis. Fatigue tests on PLA material specimens produced by FDM additive technology are conducted to analyze the properties of the honeycomb core. The fatigue properties of the sandwich plates with honeycomb cores produced by FDM technology are discussed, including the analysis of the dependence of the sandwich plate first eigenfrequencies on the number of cycles and the construction of an S-N diagram.
APPLIED COMPOSITE MATERIALS
(2022)
Article
Mechanics
K. Avramov, B. Uspensky
Summary: This paper studies the self-sustained vibrations of a sandwich conical shell with a flexible honeycomb core manufactured by fused deposition modeling. The interaction between the sandwich thin-walled structure and supersonic gas flow is analyzed. Geometrical nonlinearity and higher-order shear deformation theory are taken into account to predict the self-sustained vibrations. Numerical analysis shows that the amplitudes of quasi-periodic and chaotic vibrations are significantly larger than the amplitudes of periodic vibrations for this shell.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2022)
Article
Engineering, Mechanical
I Derevianko, B. Uspensky, K. Avramov, A. Salenko, K. Maksymenko-Sheiko
Summary: In this study, an approach for experimental analysis of mechanical characteristics of honeycomb core fabricated through fused deposition modelling was suggested. Shear and tension experiments were performed on honeycomb specimens made from PLA and ULTEM 9085 materials, along with finite element simulations. The results indicate that both the geometric nonlinearity and plasticity behavior of the material must be considered in honeycomb tension analysis, as the force-displacement response exhibits nonlinear behavior.
JOURNAL OF SANDWICH STRUCTURES & MATERIALS
(2023)
Article
Mechanics
K. Avramov, B. Uspensky
Summary: This paper numerically analyzes the geometrically nonlinear forced vibrations of doubly curved sandwich shells with honeycomb core, manufactured using fused deposition modeling (FDM). The higher-order shear deformation theory is applied to describe the mode of structure deflection and a system of nonlinear ordinary differential equations is derived to describe the forced nonlinear vibrations of the sandwich shell. The numerical approach combines the continuation technique and the shooting method to analyze the properties of nonlinear periodic vibrations and their bifurcations.
Editorial Material
Acoustics
Francesco Pellicano, Matteo Strozzi, Konstantin V. Avramov, Sinniah Ilanko
SHOCK AND VIBRATION
(2023)
Article
Engineering, Mechanical
B. Uspensky, K. Avramov, I. Derevianko, K. Maksymenko-Sheiko
Summary: This study analyzes the dynamic behavior of a sandwich cylindrical shell with a flexible honeycomb core and carbon nanotube reinforced composite face sheets using the fused deposition process. Each layer of the sandwich cylindrical shell is described by three displacement projections and two rotations angles of the normal to the middle surface. The displacements projections of the face sheets are expanded up to the quadratic terms with respect to transverse coordinates, while the honeycomb core displacements projections are expanded up to the cubic terms.
JOURNAL OF VIBRATION ENGINEERING & TECHNOLOGIES
(2023)
Proceedings Paper
Green & Sustainable Science & Technology
Borys Uspensky, Konstantin Avramov, Ihor Derevianko, Oleg Polishchuk, Oleksandr Salenko
Summary: The shear and tension properties of honeycombs manufactured from PLA and ULTEM9085 using FDM are analyzed experimentally. It is found that the honeycomb walls undergo geometrically nonlinear deformations during tension. Finite element simulation is performed using ANSYS software to account for the deformations and strain-state nonlinearity of the honeycomb cells. Fatigue properties of FDM-manufactured honeycomb core in sandwich plates are analyzed through a combination of fatigue tests and numerical simulations using ANSYS software, leading to the generation of S-N diagrams for the sandwich plates.
SMART TECHNOLOGIES IN URBAN ENGINEERING, STUE-2022
(2023)
Article
Astronomy & Astrophysics
K. Avramov, M. Chernobryvko, B. Uspensky
SPACE SCIENCE AND TECHNOLOGY-KOSMICNA NAUKA I TEHNOLOGIA
(2019)
Article
Engineering, Mechanical
Antonella Castellano, Pietro Stano, Umberto Montanaro, Marco Cammalleri, Aldo Sorniotti
Summary: This paper proposes a new control strategy for hybrid electric vehicles, called Model Predictive Control (MPC), and considers the losses in transmission gears. Through a case study on Chevrolet Volt, the results show that the simplified internal model has a minor impact on fuel consumption performance.
MECHANISM AND MACHINE THEORY
(2024)
Article
Engineering, Mechanical
Rui Peng, Gregory S. Chirikjian
Summary: This article introduces a method of designing morphable thick-panel origami structures using reconfigurable linkages, which improves the potential of origami techniques for different tasks and solves the limitations of one-DOF and multiple-DOF folding structures.
MECHANISM AND MACHINE THEORY
(2024)
Article
Engineering, Mechanical
Gaohan Zhu, Weizhong Guo, Yinghui Li, Youcheng Han
Summary: Comprehensive and accurate performance evaluation is crucial for profile synthesis and analysis of higher pair mechanisms. This paper proposes evaluation indices and methods for the transmission performance of planar higher pair mechanisms from different perspectives. It subdivides the transmission performance into element-based performance and joint-based performance and develops novel indices specific to higher pair mechanisms. A graphical mapping method based on element-based performance is also proposed for intuitive analysis. Practical examples validate the effectiveness of the proposed indices and methods for evaluating the performance of higher pair mechanisms.
MECHANISM AND MACHINE THEORY
(2024)
Article
Engineering, Mechanical
Ke Wu, Gang Zheng, Guimin Chen, Shorya Awtar
Summary: Researchers proposed a new modeling method, namely Body-frame Beam Constraint Model (BBCM), to predict and optimize the design of high-precision compliant mechanisms (CMs).
MECHANISM AND MACHINE THEORY
(2024)
Article
Engineering, Mechanical
Youcheng Han, Weizhong Guo, Changjie Zhao, Ziyue Li, Ze Fu, Yinghui Li
Summary: This study proposes a structural synthesis methodology that considers motion, force, and energy characteristics simultaneously to design efficient mechanisms.
MECHANISM AND MACHINE THEORY
(2024)
Article
Engineering, Mechanical
Cristian Enrico Capalbo, Daniel De Gregoriis, Tommaso Tamarozzi, Giuseppe Carbone, Domenico Mundo
Summary: This study proposes a novel flexible multibody formulation that enables efficient updating of models while maintaining small size and high accuracy. Numerical validation demonstrates its wide applicability across various materials and mechanisms, showing promising results in terms of accuracy.
MECHANISM AND MACHINE THEORY
(2024)
Article
Engineering, Mechanical
Weihao Zhao, Junbei Liao, Wei Qian, Haoyong Yu, Zhao Guo
Summary: This paper presents a newly designed compliant actuator using a tensile springs array to address the challenges in achieving linear and consistent elastic properties, low friction, minor hysteresis, and good compliance in series elastic actuators (SEA). The unique geometry of the spring array enables the SEA to have consistent rotary stiffness with minimal friction and hysteresis. The device's performance is evaluated using PID and sliding mode control, demonstrating its constant low rotary stiffness and torque tracking bandwidth, making it suitable for human-robot interaction requirements.
MECHANISM AND MACHINE THEORY
(2024)
Article
Engineering, Mechanical
Mohui Jin, Yukang Luo, Xing Xu, Bowei Xie, Weisheng Wang, Zewei Li, Zhou Yang
Summary: This paper presents a method for evaluating the contact interaction between compliant mechanisms and external objects. By establishing a numerical model and introducing contact springs to describe the contact forces, the deformation and normal contact force/stress can be accurately calculated. The static equilibrium configuration and contact force/stress can be obtained by minimizing the total potential energy function of the system.
MECHANISM AND MACHINE THEORY
(2024)
Article
Engineering, Mechanical
Alejandro G. Gallardo, Martin A. Pucheta
Summary: This paper presents a method for the synthesis of parallel flexure systems using Screw Theory and Linear Algebra. The method is validated through three case studies and offers a simple and precise design with decoupled actuators.
MECHANISM AND MACHINE THEORY
(2024)
Article
Engineering, Mechanical
Xiao Wang, Chenglin Liu, Haoxiang Sun, Hanwen Song
Summary: This paper presents a new decomposition mode for robot-world calibration, which decomposes the Ad(SE(3)) equation using Chasles' motion. A two-step method based on point set matching is proposed. The superiority of this method is verified through simulations and experiments.
MECHANISM AND MACHINE THEORY
(2024)
Article
Engineering, Mechanical
Yanlin Chen, Xianmin Zhang, Yanjiang Huang, Yanbin Wu, Jun Ota
Summary: This study establishes an error model for a 3-RRR+UR spherical parallel mechanism and analyzes the sensitivity of error parameters. A design structure is proposed to reduce input errors based on the analysis. Experimental results show that the multiloop circuit incremental method provides more accurate results.
MECHANISM AND MACHINE THEORY
(2024)
Article
Engineering, Mechanical
Vu Linh Nguyen, Chin-Hsing Kuo, Po Ting Lin
Summary: This paper presents a method for analyzing the performance of gravity-balanced serial robotic manipulators under dynamic loads and uses a three-degree-of-freedom planar serial manipulator as a case study. The significance of this method is demonstrated by evaluating the impact of dynamic loads on gravity-balanced performance and proposing a step-by-step design procedure to improve it.
MECHANISM AND MACHINE THEORY
(2024)
Article
Engineering, Mechanical
Shifeng Rong, Jiange Zhang, Xing Zhang, Keliang Li, Kaibin Rong, Zhenyu Zhou, Han Ding
Summary: This article proposes a data-driven dry cutting tool collaborative optimization model to improve the economic and environmental attributes of facehobbing hypoid gears. An innovative ease-off tooth contact analysis method is introduced to establish accurate relations between ease-off flank and loaded contact performance evaluations. The proposed model significantly improves sustainability in terms of economic and environmental assessments.
MECHANISM AND MACHINE THEORY
(2024)
Article
Engineering, Mechanical
Kemal Eren, Soley Ersoy, Ettore Pennestri
Summary: This research investigates the instantaneous kinematics of the terminal link of a planar two-link open chain using the complex-number technique and higher-order instantaneous invariants.
MECHANISM AND MACHINE THEORY
(2024)
Article
Engineering, Mechanical
Bo Han, Zhantu Yuan, Jiachuan Zhang, Yundou Xu, Jiantao Yao, Yongsheng Zhao
Summary: This paper proposes novel deployable mechanism units with self-limiting position function, and constructs ring truss deployable mechanisms. The degrees of freedom (DOF) of deployable units are analyzed and it is proved that the constructed ring truss deployable mechanisms have only one DOF. The dynamic model of the deployable mechanism unit with passive actuation is established and verified by simulation. The deployable mechanism units proposed in this paper have the advantages of good scalability and stability, and have broad application prospects.
MECHANISM AND MACHINE THEORY
(2024)
