Rigid Body Dynamics 刚体动力学

刚体动力学是游戏开发中的重要概念,尤其是使用Unity等游戏引擎时。btRigidBody是模拟6自由度运动的基础,它可以是静态、动态或运动学刚体。动态刚体受力影响,静态刚体不可移动,而运动学刚体可以被用户动画化。btDiscreteDynamicsWorld用于管理刚体和约束,并通过stepSimulation推进模拟。此外,MotionState简化了物理和渲染同步,处理插值并提供网络同步功能。运动状态在刚体创建时使用,并在每个模拟帧中更新身体位置。

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Rigid Body Dynamics 刚体动力学

Introduction 引入
刚体动力学是在碰撞检测模块之上实现的。它增加了力、质量、惯性、速度和约束。

  1. btRigidBody 用于模拟单个 6 自由度运动物体。btRigidBody 派生自 btCollisionObject,因此它继承了它的世界变换、摩擦和恢复,并增加了线速度和角速度。
  2. btTypedConstraint 是刚体约束的基类,包括 btHingeConstraint, btPoint2PointConstraint, btConeTwistConstraint, btSliderConstratint 和 btGeneric6DOFconstraint
  3. btDiscreteDynamicsWorld 是 UserCollisionAlgorithm btCollisionWorld, 是刚体和约束的容器。它提供了 stepSimulation 以继续。
  4. btMultiBody 是使用广义(或简化)坐标的刚体层次结构的替代表示,使用关节体算法,如 Roy Featherstone 所讨论的。树层次结构以固定或浮动基础开始,子实体(也成为链接)通过关节连接:1-DOF 旋转关节(类似于 btRigidBody 的 btHingeConstraint),1-DOF 棱柱关节(类似于 btSliderConstraint)
    请注意,最近在 bullet physics SDK 中引入了 btMultiBody,并且仍在进行中。在本文档中,仅讨论了基于最大坐标的 btRigidBody 和 btTypedConstraints。在未来的修订中,将增加一个关于 btMultiBody 的章节。目前,如果您对 btMultiBody
Rigid Body Dynamics Algorithms presents the subject of computational rigid-body dynamics through the medium of spatial 6D vector notation. It explains how to model a rigid-body system and how to analyze it, and it presents the most comprehensive collection of the best rigid-body dynamics algorithms to be found in a single source. The use of spatial vector notation greatly reduces the volume of algebra which allows systems to be described using fewer equations and fewer quantities. It also allows problems to be solved in fewer steps, and solutions to be expressed more succinctly. In addition algorithms are explained simply and clearly, and are expressed in a compact form. The use of spatial vector notation facilitates the implementation of dynamics algorithms on a computer: shorter, simpler code that is easier to write, understand and debug, with no loss of efficiency. Unique features include: • A comprehensive collection of the best rigid-body dynamics algorithms • Use of spatial (6D) vectors to greatly reduce the volume of algebra, to simplify the treatment of the subject, and to simplify the computer code that implements the algorithms • Algorithms expressed both mathematically and in pseudocode for easy translation into computer programs • Source code for many algorithms available on the internet Rigid Body Dynamics Algorithms is aimed at readers who already have some elementary knowledge of rigid-body dynamics, and are interested in calculating the dynamics of a rigid-body system. This book serves as an algorithms recipe book as well as a guide to the analysis and deeper understanding of rigid-body systems.
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