A new model with uniform damping force for frictionless impacts with non-permanent deformation at the time of separation

IF 2.6 2区 工程技术 Q2 MECHANICS
Mohammad Poursina, Parviz E. Nikravesh
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引用次数: 0

Abstract

This paper presents a new approach to modeling the contact force in continuous method of modeling an impact. This method considers the traditionally used Hertz spring force to represent the elastic behavior of the impact. A new nonlinear damping force is introduced to model the energy dissipation during the impact. Unlike the traditional spring-damping force elements used in some continuous contact force models, the introduced nonlinear damper can address impacts with non-permanent local deformation at the time of separation. We conduct both analytical and numerical investigations to mathematically express the damping factor as an explicit function of system parameters. In order to ensure that the presented force model can recover the desired restitution, an optimization approach is introduced and implemented to determine the optimal damping factor. The proposed force model is numerically verified on random systems. Finally, this new model is used to study the behavior of two colliding pendulums along with well-established piecewise and continuous approaches for modeling impacts.

Abstract Image

分离时无永久变形的无摩擦撞击的均匀阻尼力新模型
本文提出了一种在连续冲击建模法中模拟接触力的新方法。该方法采用传统的赫兹弹簧力来表示撞击的弹性行为。本文引入了一种新的非线性阻尼力来模拟冲击过程中的能量耗散。与一些连续接触力模型中使用的传统弹簧阻尼力元素不同,引入的非线性阻尼器可以处理分离时具有非永久性局部变形的撞击。我们进行了分析和数值研究,以数学方法将阻尼系数表示为系统参数的明确函数。为了确保所提出的力模型能够恢复所需的恢复力,我们引入并实施了一种优化方法来确定最佳阻尼系数。提出的力模型在随机系统上进行了数值验证。最后,这个新模型被用于研究两个碰撞摆的行为,以及用于模拟冲击的成熟的片断和连续方法。
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来源期刊
CiteScore
6.00
自引率
17.60%
发文量
46
审稿时长
12 months
期刊介绍: The journal Multibody System Dynamics treats theoretical and computational methods in rigid and flexible multibody systems, their application, and the experimental procedures used to validate the theoretical foundations. The research reported addresses computational and experimental aspects and their application to classical and emerging fields in science and technology. Both development and application aspects of multibody dynamics are relevant, in particular in the fields of control, optimization, real-time simulation, parallel computation, workspace and path planning, reliability, and durability. The journal also publishes articles covering application fields such as vehicle dynamics, aerospace technology, robotics and mechatronics, machine dynamics, crashworthiness, biomechanics, artificial intelligence, and system identification if they involve or contribute to the field of Multibody System Dynamics.
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