Automatic Generation and Integration of Equations of Motion for Linked Mechanical Systems

机译：链接机械系统的运动方程的自动生成和积分

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This paper presents a new method for the automatic generation and integration of equations of motion using operator overloading techniques. An automatic differentiation tool (OCEA: Object Oriented Coordinate Embedding Method) is utilized to compute the partial derivatives required for implementing the traditional Lagrangian equations of motion. The user only builds the kinetic and potential energy. Unlike symbolic approaches, the OCEA-Lagrangian method builds the model on-the-fly, no complex pre-processing program must be developed for implementing Lagrange's method. The new method combines the best of the symbolic and numerical equation of motion generation methods, while retaining the simplicity and elegance of the original Lagrangian method. The method is demonstrated for constrained and unconstrained linked flexible body systems.

机译：本文介绍了一种新的方法，该方法使用算子重载技术自动生成和集成运动方程。自动微分工具（OCEA：面向对象的坐标嵌入方法）用于计算实现传统拉格朗日运动方程所需的偏导数。用户仅建立动能和势能。与符号方法不同，OCEA-Lagrangian方法可以即时构建模型，无需开发复杂的预处理程序即可实施Lagrange方法。新方法结合了运动生成方法的符号和数值方程的优点，同时保留了原始拉格朗日方法的简洁性和优雅性。该方法已针对约束和无约束的链接柔性体系统进行了演示。

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《Cranfield Conference on Dynamica and Control of Systems and Structures in Space; 2004; Liguria; IT》|2004年|P.693-706|共14页
会议地点 Liguria(IT)
作者
D. Todd Griffith; John L. Junkins; James D. Turner;
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Department of Aerospace Engineering, Texas AM University, Texas, USA;

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原文格式 PDF
正文语种 eng
中图分类动力装置;
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1. Automatic generation of motion equations for planar mechanical systems using the new set of "branch coordinates" [J] . John J. McPhee Mechanism and Machine Theory: Dynamics of Machine Systems Gears and Power Trandmissions Robots and Manipulator Systems Computer-Aided Design Methods . 1998,第6期

机译：使用新的“分支坐标”集自动生成平面机械系统的运动方程
2. A symbolic approach for automatic generation of the equations of motion of multibody systems [J] . Lot R, Da Lio M Multibody system dynamics . 2004,第2期

机译：自动生成多体系统运动方程的一种符号方法
3. EFFICIENT NUMERICAL INTEGRATION OF THE EQUATIONS OF MOTION OF NON-SMOOTH MECHANICAL SYSTEMS [J] . Meijaard JP. Zeitschrift fur Angewandte Mathematik und Mechanik . 1997,第6期

机译：非光滑机械系统运动方程的有效数值积分
4. Automatic Generation and Integration of Equations of Motion for Linked Mechanical Systems [C] . D. Todd Griffith, John L. Junkins, James D. Turner International conference on dynamics and control of systems and structures in space . 2004

机译：用于连接机械系统的运动方程的自动生成和集成
5. THE ESTABLISHMENT OF A PROCEDURE FOR SELECTING A FAVORABLE METHOD OF DETERMINING NATURAL FREQUENCIES AND NATURAL MODES OF VIBRATION OF MULTI-DEGREE-OF-FREEDOM MECHANICAL SYSTEMS, THE MOTIONS OF WHICH CAN BE DESCRIBED BY LINEAR DIFFERENTIAL EQUATIONS. [D] . ALLEY, THOMAS LEROY. 1964

机译：建立选择确定多频率自由度机械系统振动的自然频率和自然模式的方法的程序，可以用线性微分方程来描述运动。
6. Automatically Selecting a Suitable Integration Scheme for Systems of Differential Equations in Neuron Models [O] . Inga Blundell, Dimitri Plotnikov, Jochen M. Eppler, 2018

机译：为神经元模型中的微分方程系统自动选择合适的积分方案
7. Automatic generation of equations of motion for multibody system in discrete event simulation framework [O] . Ku Namkug, Jo Ara, Ha Sol, 2012

机译：离散事件仿真框架中多体系统运动方程的自动生成
8. Linked Cluster Theorem and the Green's Function Equations of Motion for a Many Fermion System [R] . Kobe, D. H. 1965

机译：连续聚类定理与许多费米子系统的格林函数运动方程

Automatic Generation and Integration of Equations of Motion for Linked Mechanical Systems

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