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A Five-Dimensional Three-Layer Digital Twin to Train a Reinforcement Learning Agent for Interaction Control of a Robotic Exoskeleton in Adolescent Idiopathic Scoliosis Rehabilitation 一种五维三层数字孪生体训练强化学习代理用于青少年特发性脊柱侧凸康复机器人外骨骼的交互控制
IF 3.6 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-05-11 DOI: 10.1002/msd2.70020
Farhad Farhadiyadkuri, Xuping Zhang

Adolescent idiopathic scoliosis (AIS) is a sideway curvature of the spinal column combined with a vertebral rotation that usually occurs in adolescents without any known causes. Bracing, the most common conservative treatment of AIS, has not fully exploited the benefits of the active control approaches powered by artificial intelligence (AI), although AI has entered a wide range of applications. The correction forces exerted by the brace are controlled passively by regulating the tightness of the brace's strap. Besides, training the learning-based control methods using a virtual model is of high importance in the AIS brace treatment, since training using trial and error on human subjects may result in unexpected pressure and injuries on the patient's torso. However, digital twin (DT) modeling, an emerging technology, has not been implemented into the AIS brace treatment yet. In this paper, reinforcement learning-based position-based impedance control (RLPIC) is proposed to enable a robotic brace to learn the desired physical interaction between the robotic brace and the human torso. A five-dimensional (5D) three-layer DT is also developed to be used for training the RLPIC in a simulated environment. The 5D three-layer DT consists of a physical system, a three-layer digital model of the physical system, including the robotic brace, human torso, and the physical human–robot interaction (HRI), a bidirectional connection between them, and an optimization dimension. A neural network-based regression model is also proposed to estimate the unknown parameters of the digital model. Numerical simulations and real-time experiments are performed to validate the 5D three-layer DT model. The proposed RLPIC trained using the 5D three-layer DT is verified using numerical simulations in terms of position tracking, velocity tracking, and HRI control. It is concluded that the proposed learning-based interaction control approach can improve the HRI control by learning the desired interaction in a simulated environment.

青少年特发性脊柱侧弯(AIS)是一种脊柱侧弯合并椎体旋转,通常发生在青少年,没有任何已知的原因。尽管人工智能(AI)已经进入了广泛的应用领域,但作为AIS最常见的保守治疗方法,支撑并没有充分利用由人工智能(AI)驱动的主动控制方法的优势。通过调节支撑带的松紧度来被动地控制支撑施加的校正力。此外,使用虚拟模型训练基于学习的控制方法在AIS支架治疗中非常重要,因为在人类受试者上使用试错法训练可能会对患者的躯干造成意想不到的压力和伤害。然而,数字孪生(DT)建模这一新兴技术尚未应用于AIS支架治疗中。本文提出了基于强化学习的基于位置的阻抗控制(RLPIC),使机器人支架能够学习机器人支架与人体躯干之间所需的物理相互作用。一个五维(5D)三层DT也被开发用于在模拟环境中训练RLPIC。5D三层DT包括一个物理系统,一个物理系统的三层数字模型,包括机器人支架、人体躯干和物理人机交互(HRI),它们之间的双向连接,以及一个优化维度。提出了一种基于神经网络的回归模型来估计数字模型的未知参数。通过数值模拟和实时实验对5D三层DT模型进行了验证。利用5D三层DT训练的RLPIC在位置跟踪、速度跟踪和HRI控制方面进行了数值模拟验证。研究结果表明,基于学习的交互控制方法可以通过在模拟环境中学习期望的交互来改善HRI控制。
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引用次数: 0
SCT-BEM for Transient Heat Conduction and Wave Propagation in 2D Thin-Walled Structures 二维薄壁结构瞬态热传导和波传播的SCT-BEM
IF 3.4 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-04-26 DOI: 10.1002/msd2.70015
Xiaotong Gao, Yan Gu

Traditional boundary element method (BEM) faces significant challenges in addressing dynamic problems in thin-walled structures. These challenges arise primarily from the complexities of handling time-dependent terms and nearly singular integrals in structures with thin-shapes. In this study, we reformulate time derivative terms as domain integrals and approximate the unknown functions using radial basis functions (RBFs). This reformulation simplifies the treatment of transient terms and enhances computational efficiency by reducing the complexity of time-dependent formulations. The resulting domain integrals are efficiently evaluated using the scaled coordinate transformation BEM (SCT-BEM), which converts domain integrals into equivalent boundary integrals, thereby improving numerical accuracy and stability. Furthermore, to tackle the challenges inherent in thin-body structures, a nonlinear coordinate transformation is introduced to effectively remove the near-singular behavior of the integrals. The proposed method offers several advantages, including greater flexibility in managing transient terms, lower computational costs, and improved stability for thin-body problems.

传统的边界元法(BEM)在求解薄壁结构动力问题时面临重大挑战。这些挑战主要来自于在薄型结构中处理时间相关项和近似奇异积分的复杂性。在本研究中,我们将时间导数项重新表述为域积分,并使用径向基函数(rbf)近似未知函数。这种重新公式简化了瞬态项的处理,并通过减少时间相关公式的复杂性来提高计算效率。利用缩放坐标变换BEM (SCT-BEM)有效地计算得到的域积分,将域积分转换为等效边界积分,从而提高了数值精度和稳定性。此外,为了解决薄体结构固有的挑战,引入了非线性坐标变换来有效地消除积分的近奇异行为。所提出的方法具有几个优点,包括在管理瞬态项方面具有更大的灵活性,计算成本更低,并且对薄体问题具有更好的稳定性。
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引用次数: 0
Performance and Life Analysis of Lithium-Ion Batteries Aided by Data-Driven Analysis 基于数据驱动分析的锂离子电池性能与寿命分析
IF 3.4 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-04-26 DOI: 10.1002/msd2.70014
Ashish Anil Deshpande, S. D. V. S. S. Varma Siruvuri, Y. B. Sudhir Sastry, Bhanumurthy Rammohan, Samy Refahy Mahmoud, Pattabhi Ramaiah Budarapu

The performance and lifespan of Li-ion batteries used in electric vehicles are influenced by operating and environmental conditions. An understanding of the mechanisms leading to performance degradation and capacity fading can aid in the design of better battery systems. In the present study, numerical models are developed to estimate the capacity fading, battery performance, and residual life. Furthermore, key associated parameters are identified as state of charge, charging protocols, and temperature. Later on, a deep machine learning (DML) model consisting of one input, four hidden, and one output layer is developed to estimate the residual life of a battery system. The five input parameters considered include voltage, current, temperature, number of cycles, and time, apart from residual life as the output parameter. The proposed DML model consists of five dense layers and three dropout layers with 2889 trainable parameters in total, with higher neuron counts in initial layers to process diverse inputs and fewer neurons in later layers to ensure compact feature representation as well as to make better and faster predictions. Results from the numerical and DML models are compared to the reported experimental results, where good agreement is observed. Thus, the developed model is tested on Lithium based Nickel Manganese Cobalt Oxide and Nickel Cobalt Aluminum Oxide batteries, for which parametric studies are performed to investigate the influence of the operating temperature, rate of charge/discharge, and pulse charging on the battery life. Therefore, the technologies proposed in this study can contribute to the development of intelligent battery management systems, enabling enhanced performance, and hence prolonged life of battery systems.

电动汽车用锂离子电池的性能和寿命受到操作条件和环境条件的影响。了解导致性能下降和容量衰退的机制有助于设计更好的电池系统。在本研究中,建立了数值模型来估计容量衰落、电池性能和剩余寿命。此外,关键的相关参数被确定为充电状态、充电协议和温度。随后,开发了一个由一个输入层、四个隐藏层和一个输出层组成的深度机器学习(DML)模型来估计电池系统的剩余寿命。除了剩余寿命作为输出参数外,考虑的五个输入参数包括电压、电流、温度、循环次数和时间。提出的DML模型由5个密集层和3个dropout层组成,共有2889个可训练参数,初始层的神经元数量较多,以处理不同的输入,后期层的神经元数量较少,以确保紧凑的特征表示,并做出更好更快的预测。数值模型和DML模型的计算结果与实验结果进行了比较,两者吻合良好。因此,开发的模型在锂基镍锰钴氧化物和镍钴铝氧化物电池上进行了测试,并进行了参数研究,以研究工作温度、充放电速率和脉冲充电对电池寿命的影响。因此,本研究中提出的技术可以促进智能电池管理系统的发展,从而提高电池系统的性能,从而延长电池系统的使用寿命。
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引用次数: 0
A Computational Framework for Predicting Vibrations in the Front-Loading Washing Machine Using Component-Level Experiments and Mathematical Modeling 基于部件级实验和数学建模的前装式洗衣机振动预测计算框架
IF 3.6 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-04-22 DOI: 10.1002/msd2.70009
Dae-Guen Lim, Seok-Chan Kim, Min-Ho Pak

This study proposes a computational framework for developing a multibody dynamics (MBD) model to accurately predict the vibration behavior of front-loading washing machines. The framework integrates component-level experiments and mathematical modeling to characterize the dynamic behavior of key components, including the free-stroke damper, connecting bushing, and gasket, which significantly influence the machine's vibration. Simplified, yet precise, mathematical models were developed and validated against experimental data to represent these components' dynamic characteristics. The validated models were then integrated into a comprehensive MBD model of a front-loading washing machine. This model was further verified by comparing its predicted vibrations with experimental results obtained from actual washing machines. A parametric study assessed the model's accuracy under various unbalanced mass conditions and revolutions per minute ranges, which revealed that the model is capable of generalization across different operating scenarios. Although some errors remain in specific cases involving phase differences, the overall average error is 20.11%, with a standard deviation of 4.10%. These results demonstrate that the proposed framework effectively captures the vibration behavior of front-loading washing machines, offering a reliable tool for enhancing design and operational efficiency.

本研究提出了一个计算框架,用于开发多体动力学(MBD)模型,以准确预测前装式洗衣机的振动行为。该框架集成了组件级实验和数学建模,以表征关键组件的动态行为,包括自由行程阻尼器、连接衬套和垫圈,这些组件对机器的振动有显著影响。建立了简化而精确的数学模型,并根据实验数据进行了验证,以表示这些部件的动态特性。然后将验证的模型集成到前装式洗衣机的综合MBD模型中。通过将预测的振动与实际洗衣机的实验结果进行比较,进一步验证了该模型的正确性。参数研究评估了模型在各种不平衡质量条件和每分钟转数范围下的准确性,结果表明该模型能够在不同的操作场景下进行推广。虽然在涉及相位差的具体情况下存在一定误差,但总体平均误差为20.11%,标准差为4.10%。这些结果表明,所提出的框架有效地捕获了前装式洗衣机的振动行为,为提高设计和运行效率提供了可靠的工具。
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引用次数: 0
Dynamic Characteristics of Vibrating Flip-Flow Screens Considering Material Impact Force 考虑物料冲击力的振动筛动特性研究
IF 3.6 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-04-21 DOI: 10.1002/msd2.70010
Boyu Wu, Shuqian Cao, Qingquan Luo

Vibrating flip-flow screens are widely used in the field of screening; its actual operation is affected by the impact force of materials, but existing research usually ignores this effect. Based on this background, considering the influence of material impact force and moment on vibrating flip-flow screens, this paper develops a dynamic model and a vibration differential equation of a vibrating flip-flow screen, performs the analysis of material movement and calculation of the material impact force, and includes the material impact force in the dynamic characteristic analysis of a vibrating flip-flow screen. The results indicate the following: (1) The impact forces and account for 29% and 57.58% of the excitation force amplitude, respectively, indicating that they are of the same magnitude as the excitation force. Material impact increases the vibration amplitudes of the main and floating frames, and therefore, cannot be ignored in vibrating flip-flow screen design. (2) By comparing the vibrating flip-flow screen's responses with and without the impact, it is found that impact force significantly influences the system response, causing the displacement curve to shift and the amplitude–frequency curve to have periodic fluctuations and peak values. (3) The effects of impact parameters on the dynamic characteristics of a vibrating flip-flow screen are studied. The results show that increases in material mass and material binding coefficient lead to a decrease in the system natural frequencies. Due to the impact force, the amplitude–frequency curve of the main frame peaks at a frequency lower than the first order of the natural frequency, and the amplitude–frequency curve of the floating frame peaks in the intervals of 5–10 Hz and 20–25 Hz. The results provide a theoretical reference for the design of vibrating flip-flow screens. The operating frequency of vibrating flip-flow screens should be selected to avoid the peak value due to the impact force, which helps extend the working life.

振动筛广泛应用于筛分领域;它的实际运行受到材料冲击力的影响,但现有的研究通常忽略了这一影响。基于此背景,考虑物料冲击力和力矩对振动筛的影响,建立振动筛的动力学模型和振动微分方程,进行物料运动分析和物料冲击力计算,并将物料冲击力纳入振动筛的动态特性分析。结果表明:(1)冲击力和分别占激振力幅值的29%和57.58%,与激振力幅值大小相同。物料冲击使主机架和浮机架的振动幅值增大,因此在振动筛设计中不可忽视。(2)通过对比振动转流筛在受冲击和不受冲击时的响应,发现冲击力对系统响应有明显影响,使位移曲线发生位移,幅频曲线出现周期性波动和峰值。(3)研究了冲击参数对振动筛动特性的影响。结果表明,随着材料质量和材料结合系数的增大,系统固有频率降低。受冲击力的影响,主框架的幅频曲线在低于固有频率一阶的频率处出现峰值,浮动框架的幅频曲线在5 ~ 10hz和20 ~ 25hz区间出现峰值。研究结果为振动转流筛的设计提供了理论参考。振动筛工作频率的选择应避免因冲击力而达到峰值,有利于延长工作寿命。
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引用次数: 0
PIKFNNs-DPIM for Stochastic Response Analysis of Underwater Acoustic Propagation 基于PIKFNNs-DPIM的水声传播随机响应分析
IF 3.4 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-04-17 DOI: 10.1002/msd2.70007
Shuainan Liu, Hanshu Chen, Qiang Xi, Zhuojia Fu

This paper proposes a hybrid algorithm based on the physics-informed kernel function neural networks (PIKFNNs) and the direct probability integral method (DPIM) for calculating the probability density function of stochastic responses for structures in the deep marine environment. The underwater acoustic information is predicted utilizing the PIKFNNs, which integrate prior physical information. Subsequently, a novel uncertainty quantification analysis method, the DPIM, is introduced to establish a stochastic response analysis model of underwater acoustic propagation. The effects of random load, variable sound speed, fluctuating ocean density, and random material properties of shell on the underwater stochastic sound pressure are numerically analyzed, providing a probabilistic insight for assessing the mechanical behavior of structures in the deep marine environment.

提出了一种基于物理通知核函数神经网络(pikfnn)和直接概率积分法(DPIM)的混合算法,用于计算深海环境中结构随机响应的概率密度函数。利用融合了先验物理信息的pikfnn对水声信息进行预测。随后,引入一种新的不确定性量化分析方法DPIM,建立了水声传播的随机响应分析模型。数值分析了随机载荷、变声速、海洋密度波动和壳体随机材料特性对水下随机声压的影响,为评估深海环境中结构的力学行为提供了概率视角。
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引用次数: 0
Non-Gaussian Random Vibration Test by Control of Multiple Correlation Coefficients, Skewnesses, and Kurtoses 多相关系数、偏度和峰度控制下的非高斯随机振动试验
IF 3.4 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-04-16 DOI: 10.1002/msd2.70011
Ronghui Zheng, Guoping Wang, Fufeng Yang

Non-Gaussian random vibrations have gained more attention in the dynamics-research community due to the frequently encountered non-Gaussian dynamic environments in engineering practice. This work proposes a novel non-Gaussian random vibration test method by simultaneous control of multiple correlation coefficients, skewness, and kurtoses. The multi-channel time-domain coupling model is first constructed which is mainly composed of the designed parameters and independent signal sources. The designed parameters are related to the defined correlation coefficients and root mean square values. The synthesized multiple non-Gaussian random signals are unitized to provide independent signal sources for coupling. The first four statistical characteristics of the synthesized non-Gaussian random signals are theoretically derived so that the relationships among the generated signals, independent signal sources, and correlation coefficients are achieved. Subsequently, a multi-channel closed-loop equalization procedure for non-Gaussian random vibration control is presented to produce a multi-channel correlated non-Gaussian random vibration environment. Finally, a simulation example and an experimental verification are provided. Results from the simulation and experiment indicate that the multi-channel response spectral densities, correlation coefficients, skewnesses, and kurtoses can be stably and effectively controlled within the corresponding tolerances by the proposed method.

由于工程实践中经常遇到非高斯动力环境,非高斯随机振动问题越来越受到动力研究界的关注。本文提出了一种同时控制多个相关系数、偏度和峰度的非高斯随机振动测试方法。首先建立了主要由设计参数和独立信号源组成的多通道时域耦合模型;设计参数与定义的相关系数和均方根值相关。将合成的多个非高斯随机信号进行统一,为耦合提供独立的信号源。从理论上推导了合成的非高斯随机信号的前四个统计特性,从而得到了生成的信号、独立信号源和相关系数之间的关系。在此基础上,提出了一种多通道非高斯随机振动控制闭环均衡方法,以产生一个多通道相关的非高斯随机振动环境。最后给出了仿真算例和实验验证。仿真和实验结果表明,该方法可以稳定有效地将多通道响应谱密度、相关系数、偏度和峰度控制在相应的公差范围内。
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引用次数: 0
Design of a Tracking Controller Based on Machine Learning 基于机器学习的跟踪控制器设计
IF 3.4 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-04-08 DOI: 10.1002/msd2.70006
Dieter Bestle, Sanam Hajipour

Tracking control of multibody systems is a challenging task requiring detailed modeling and control expertise. Especially in the case of closed-loop mechanisms, inverse kinematics as part of the controller may become a game stopper due to the extensive calculations required for solving nonlinear equations and inverting complicated functions. The procedure introduced in this paper substitutes such advanced human expertise by artificial intelligence through the utilization of surrogates, which may be trained from data obtained by classical simulation. The necessary steps are demonstrated along a parallel mechanism called λ-robot. Based on its mechanical model, the workspace is investigated, which is required to set proper initial conditions for generating data covering the used operation space of the robot. Based on these data, artificial neural networks are trained as surrogates for inverse kinematics and inverse dynamics. They provide forward control information such that the remaining error behavior is governed by a linear ordinary differential equation, which allows applying a linear quadratic regulator (LQR) from linear control theory. An additional feedback loop of the tracking error accounts for model uncertainties. Simulation results validate the applicability of the proposed concept.

多体系统的跟踪控制是一项具有挑战性的任务,需要详细的建模和控制专业知识。特别是在闭环机构的情况下,由于求解非线性方程和求复杂函数的逆运算需要大量的计算,逆运动学作为控制器的一部分可能会成为游戏的阻碍。本文介绍的程序通过利用代理人,可以从经典模拟获得的数据中训练代理人,用人工智能代替这些先进的人类专业知识。必要的步骤演示沿平行机构称为λ-机器人。在其力学模型的基础上,对其工作空间进行了研究,为生成覆盖机器人使用的操作空间的数据,需要设置合适的初始条件。基于这些数据,训练人工神经网络作为逆运动学和逆动力学的代理。它们提供前向控制信息,使得剩余的误差行为由线性常微分方程控制,这允许应用线性控制理论中的线性二次调节器(LQR)。跟踪误差的附加反馈回路解释了模型的不确定性。仿真结果验证了所提概念的适用性。
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引用次数: 0
Cover Image, Volume 5, Number 1, March 2025 封面图片,第五卷,第1期,2025年3月
IF 3.4 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-03-26 DOI: 10.1002/msd2.70008

Cover Caption: Active vibration control in MIMO systems is a critical research area addressing the complexities of managing vibrations in various engineering applications. Using FEM, piezoelectric theory and FSDT, dynamic response analysis and active vibration control of smart FGM composite plate with FGPM surface actuators and sensors are introduced. To analyze the control efficiency of FGPM sensors and actuators on the FGM host structure, the LQR controller is utilized. It is emphasized that active vibration control of FGM plates can be performed effectively with the proper selection of FGPM sensors and actuators and their accurate distribution on the plate.

封面说明:多输入多输出(MIMO)系统中的主动振动控制是解决各种工程应用中振动管理复杂性的一个重要研究领域。利用有限元、压电理论和 FSDT,介绍了带有 FGPM 表面致动器和传感器的智能 FGM 复合板的动态响应分析和主动振动控制。为了分析 FGPM 传感器和致动器对 FGM 主结构的控制效率,利用了 LQR 控制器。研究强调,只要正确选择 FGPM 传感器和致动器并将其准确地分布在板上,就能有效地对 FGM 板进行主动振动控制。
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引用次数: 0
Multi-State Meshing-Collision Dynamics Modeling and Analysis of High-Contact-Ratio Spur Gear System Considering Tooth Breakage 考虑断齿的高接触比直齿齿轮系统多态啮合碰撞动力学建模与分析
IF 3.4 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-03-22 DOI: 10.1002/msd2.70000
Jianfei Shi, Pengfei Qi, Chuang Han, Chao Ye, Wuyin Jin

Tooth breakage is a common issue in geared systems. The high-contact-ratio spur gear system (HCRSG) maintains continuous transmission despite tooth breakage, but experiences increased impact vibration. In aviation, even if the gear teeth break, the gear's transmission cannot be stopped immediately. Therefore, studying gear system dynamics with tooth breakage is crucial for assessing the reliability of mechanical equipment. This study treats the tooth-back contact induced by backlash as the tooth-back collision and presents the multi-state meshing-collision pattern of HCRSG with one tooth breakage (OTB), including triple-tooth, double-tooth, single-tooth meshes, disengagement, and tooth-back collision. Time-varying meshing stiffness and load distribution coefficients of HCRSG with OTB are calculated. Then a multi-state meshing-collision nonlinear dynamic model of HCRSG with OTB is established. The meshing forces of HCRSG with OTB and without OTB are calculated and compared to examine the effect of tooth breakage. The multi-state meshing-collision nonlinear dynamics of HCRSG with OTB are studied via bifurcation diagram, phase portraits, and Poincaré maps by changing the transmission error amplitude. The results show that 3-2-3-2-3 meshing pattern of HCRSG is shifted to 2-1-2-1-2 meshing pattern due to tooth breakage. The effect of tooth breakage on the meshing force and dynamic behavior significantly depends on teeth disengagement or tooth-back collision. Tooth breakage greatly affects the bifurcation and chaos characteristics of multistate meshing-collision behavior of HCRSG. This study creates a framework to predict and assess the dynamics of gear transmission systems with tooth breakage in extreme aviation and aerospace environments.

齿断是齿轮传动系统中常见的问题。高接触比正齿轮系统(HCRSG)保持连续传动,尽管齿断裂,但经历增加的冲击振动。在航空中,即使齿轮齿断了,齿轮的传动也不能立即停止。因此,研究含断齿的齿轮系统动力学是评估机械设备可靠性的关键。本研究将齿隙引起的齿-背接触视为齿-背碰撞,提出了一齿断裂(OTB) HCRSG的多状态啮合-碰撞模式,包括三齿、双齿、单齿啮合、脱啮合和齿-背碰撞。计算了带OTB的HCRSG的时变啮合刚度和载荷分配系数。然后,建立了带OTB的HCRSG多状态啮合-碰撞非线性动力学模型。计算并比较了带齿槽和不带齿槽的HCRSG的啮合力,考察了齿槽断裂对其啮合力的影响。通过改变传输误差幅值,通过分岔图、相位图和poincar图研究了带OTB的HCRSG的多态啮合-碰撞非线性动力学。结果表明:由于齿面断裂,HCRSG的3-2-3- 3啮合模式转变为2-1-2- 2啮合模式;齿断裂对啮合力和动力学性能的影响主要取决于齿脱离或齿背碰撞。齿断裂对HCRSG多态啮合碰撞行为的分岔和混沌特性影响很大。本研究创建了一个框架来预测和评估在极端航空和航天环境中齿轮传动系统的动态与齿断裂。
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国际机械系统动力学学报(英文)
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