equations of motionrigid bodyelastic rodhybrid system of differential equationsA mathematical model of a mechanical system consisting of a rigid body and two rigidly connected elastic straight rods located in the same plane is offered in this paper. The system rotates around the axis passing through...
显然,(Ibody)-1 在模拟过程中也是一个常数 2.11 刚体运动方程 Rigid Body Equations of Motion 最后,我们涵盖了定义状态向量 Y(t) 所需的所有概念! 对于刚体,我们将 Y(t) 定义为 因此,刚体的状态是它的位置和方向(描述空间信息),以及它的线性和角动量(描述速度信息)。 身体的质量 M 和身体空间惯性张量 Ib...
The problem of solutions of the equations of motion is examined together with the conditions under which they are valid. The chapter concludes with an examination of the equations of motion of a rigid body with an internal cavity containing a viscous fluid....
Rigid bodyrotationlagrangianhamiltonianmolecular dynamicsWe derive new constrained equations of motion for the principal axis vectors of a rotating rigid body. The equations of motion in both Lagrangian and Hamiltonian form are derived and for a simple example, are shown to be equivalent to equations ...
For a rigid body, the equations governing its motions are derived directly from the conservation of linear and angular momentum:• Linear Momentum (Translation)Equation 2.426 • Angular Momentum (Rotation)Equation 2.427 In equation 2.426, is the mass of the moving object; ⃗ is the linear/...
This paper formulates the equations of motion of a rigid body in a hyper-dual number form. By introducing the hyper-dual Jacobian matrix, hyper-dual velocity, hyper-dual momentum and the hyper dual inertia operator, while taking advantage of the “automatic differentiation” feature of the dual...
The center of mass of a rigid body is defined. The concept of the moment of inertia is introduced and shown to be intimately related to angular momentum. The equations of motion (translational and rotational) of a rigid body are written. Conservation of angular momentum of a rigid body is ...
Based on the structural characteristics of the multi-stage Planetary Roller Screw Mechanism (PRSM), the motion and force among the different stages are analyzed. In terms of the Newton's second law, the rigid-body motion equations of the multi-stage PRSM
The derivation of the hydrodynamic added inertia and the vehicle's rigid body equations of motion can be done in a common framework. The added inertia ... SI Sagatun,TI Fossen 被引量: 78发表: 1991年 Theoretical Model for the Chandler Wobble EULER is usually credited with having been the ...
A network model for rigid-body motion 来自 Springer 喜欢 0 阅读量: 25 作者: Y Tokad 摘要: In the formulation of equations of motion of three-dimensional mechanical systems, the techniques utilized and developed to analyze the electrical networks based on linear graph theory can conveniently be ...