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...
Equations of Motion The plane motion of a rigid body Ω is described by the following equations about the mass center of the body (9.86)∑F=maG∑MG=I¯zα where ∑F is the resultant force, ∑MG is resultant moment about the mass center G,m=∫Ωdm is the mass of the body, I¯...
The motion of extended objects requires a new set of tools and some new methods as well. We begin with the introduction of the moment of inertia tensor and develop the relations combining it with the angular velocity of a rigid body and its kinetic energy or angular momentum. We then ...
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 ...
rigid body (redirected fromRigid body motion) An idealized extended solid whose size and shape are definitely fixed and remain unaltered when forces are applied. Treatment of the motion of a rigid body in terms of Newton's laws of motion leads to an understanding of certain important aspects of...
I present a formulation for Rigid Body Dynamics that is independent of the dimension of the space. I describe the state and equations of motion of rigid bodies using geometric algebra. Using collision detection algorithms extended to nD I resolve collisions and contact between bodies. My ...
To simulate rigid body motion on the GPU, we must store all the physical values for each rigid body as textures. The physical values can be stored in a 1D texture, but a 2D texture is often used because current GPUs have restrictions on the size of 1D textures. ...
That is done by constraining all six DOF of rigid body motion. You are doing that with the two remote displacements. In this case, the reaction force will be close to zero. I don't know how global bending moments for ship hulls are computed and what conditions they apply to. Are they...
rigid-body motionThe application of the sampling surfaces (SaS) method to laminated composite plates is presented in a companion paper (Kulikov GM, Plotnikova SV. Exact 3D stress analysis of laminated composite plates by sampling surfaces method. Compos Struct 2012;94:3654-3663). In this paper,...