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Deep bed filtration model for cake filtration and erosion 滤饼过滤和侵蚀的深床过滤模型
Q4 Mathematics Pub Date : 2024-01-26 DOI: 10.1007/s10483-024-3077-9
L. Kuzmina, Y. Osipov, A. Pesterev
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引用次数: 0
Parametric resonance of axially functionally graded pipes conveying pulsating fluid 输送脉动流体的轴向功能分级管道的参数共振
Q4 Mathematics Pub Date : 2024-01-26 DOI: 10.1007/s10483-024-3083-6
Jie Jing, Xiaoye Mao, Hu Ding, Liqun Chen
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引用次数: 0
UGV Path Programming Based on the DQN With Noise in the Output Layer 基于输出层带噪声的DQN的UGV路径规划
Q4 Mathematics Pub Date : 2023-01-01 DOI: 10.21656/1000-0887.430070
Li Yang, Yan Dongmei, Liu Lei
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引用次数: 0
An infectious disease model with media coverage and limited medical resources 传染病模型,媒体报道,医疗资源有限
Q4 Mathematics Pub Date : 2023-01-01 DOI: 10.21656/1000-0887.430160
Liu Dan, Wang Yan, Ren Xin-zhi, Liu Xian-ning
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引用次数: 0
Thermomechanical Responses of YSZ Under Ultrashort Thermal Shock Based on the L-S Generalized Thermoelastic Theory 基于L-S广义热弹性理论的YSZ在超短热冲击下的热力学响应
Q4 Mathematics Pub Date : 2023-01-01 DOI: 10.21656/1000-0887.430134
Z. Yi, Tian Xiaogeng
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引用次数: 0
Dynamic Responses Analysis of Bridges With Uncertain Parameters Under Moving Loads 移动荷载作用下不确定参数桥梁动力响应分析
Q4 Mathematics Pub Date : 2023-01-01 DOI: 10.21656/1000-0887.430148
Liu Fan, LI Lixiang, Zhao Yan
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引用次数: 0
Projective Synchronization of Fractional Quaternion Neural Networks With Time-Varying Delays 时变时滞分数阶四元数神经网络的投影同步
Q4 Mathematics Pub Date : 2023-01-01 DOI: 10.21656/1000-0887.430228
L. Chunmei, Yang Xujun, WU Xiang
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引用次数: 0
The Legendre Collocation Spectral Method for the Ground State Solutions of the Bose-Einstein Condensates 玻色-爱因斯坦凝聚体基态解的勒让德搭配谱法
Q4 Mathematics Pub Date : 2023-01-01 DOI: 10.21656/1000-0887.430257
Liu Wenjie, Wang Hanquan
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引用次数: 0
A Digital Twin Method for Dynamic Structures Based on Reduced Order Models and Data Driving 基于降阶模型和数据驱动的动态结构数字孪生方法
Q4 Mathematics Pub Date : 2023-01-01 DOI: 10.21656/1000-0887.430384
Wang Qingshan, Yan Bo, Chen Yan, Deng Mao, Cai Yuanbin
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引用次数: 0
Parametric Solution Domain Structures for Bifurcation and Non-Meshing Dynamic Characteristics of Straight Bevel Gear Systems 直齿锥齿轮系统分岔与非啮合动态特性的参数化解域结构
Q4 Mathematics Pub Date : 2023-01-01 DOI: 10.21656/1000-0887.430330
TIAN Yaping, YANG Jianghui, WANG Ruibang
Aimed at the coupling transition relationship between the periodic motion, the tooth surface impact, the non-meshing state and the dynamic load of straight bevel gear systems with backlash, the 2-parameter plane with respect to the time-varying meshing stiffness and the frequency ratio was built based on the cell mapping principle. Besides, the improved CPNF (continuous-Poincaré-Newton-Floquet) method was applied to solve the solution domain structure of the periodicity, impact, non-meshing and dynamic load characteristics of the system cells. The simulation results show that, there are plentiful bifurcation modes with 3 kinds of tooth surface impacts coexisting in the 2-parameter solution domain structure, including the saddle node bifurcation, the Hopf bifurcation, the period-doubling bifurcation, the catastrophe bifurcation and the period-3 bifurcation. The tooth surface impact and chaos will intensify due to increase of the time-varying meshing stiffness coefficient. The tooth surface non-meshing, the tooth back meshing and the dynamic load coefficient will exhibit mutations under the influences of the tooth impact and the periodic motion. Meanwhile, in the same domain, the tooth surface non-meshing and the tooth back meshing will weaken with the frequency ratio but heighten with the stiffness coefficient.
针对带间隙直齿锥齿轮系统的周期运动、齿面冲击、非啮合状态和动载荷之间的耦合过渡关系,基于单元映射原理建立了时变啮合刚度和频率比的二参数平面。此外,采用改进的CPNF (continuous- poincar - newton - floquet)方法求解了系统单元的周期性、冲击性、非啮合性和动载荷特性的解域结构。仿真结果表明,在2参数解域结构中存在丰富的3种齿面冲击共存的分岔模式,包括鞍节点分岔、Hopf分岔、倍周期分岔、突变分岔和3周期分岔。时变啮合刚度系数的增大会加剧齿面冲击和混沌。齿面不啮合、齿背啮合和动载荷系数在齿面碰撞和周期运动的影响下会发生突变。同时,在同一域内,齿面非啮合和齿背啮合随频率比的增大而减弱,随刚度系数的增大而增大。
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引用次数: 0
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