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Flexible actuator finite element applied to spatial mechanisms by a finite deformation dynamic formulation

机译:通过有限变形动力学公式将柔性致动器有限元应用于空间机构

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摘要

A flexible actuator finite element is developed and applied for the modelling of spatial mechanisms present in several industrial applications. A total Lagrangian framework is employed for the development of the finite deformation dynamic equilibrium using solid-like shell and 3D frame finite elements. Exploiting the total Lagrangian aspect of the formulation, the actuator motion is imposed by controlling the element reference configuration. It has the advantage of retaining the actuated bar flexibility, an important factor when simulating flexible mechanisms, and not requiring special treatments as constraint enforcement impositions. As the employed elements use alternative nodal parameters such as positions and generalized vectors to describe their kinematics, a treatment on the introduction of rotational connections-spherical, revolute and pinned joints-largely present in actuated mechanisms, is developed. The nonlinear equations of motion are solved by the Newton-Raphson method. Examples are presented to evaluate the proposed flexible actuator finite element regarding its dynamical behaviour in mechanisms where its use is of importance.
机译:开发了一种灵活的致动器有限元,并将其应用于多种工业应用中存在的空间机制建模。采用全拉格朗日框架,利用类固体壳和三维框架有限元发展有限变形动态平衡。利用公式的总拉格朗日方面,通过控制元件参考配置来施加致动器运动。它的优点是保留了驱动杆的柔韧性,这是模拟柔性机构时的一个重要因素,并且不需要特殊处理作为约束强制施加。由于所采用的元件使用替代节点参数(如位置和广义矢量)来描述其运动学,因此开发了一种引入旋转连接(球形、旋转和销钉接头)的处理方法,这些连接主要存在于驱动机构中。运动的非线性方程由牛顿-拉夫森方法求解。通过实例来评估所提出的柔性致动器有限元在重要使用机制中的动态行为。

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