基本説明
Features: Discussion of engineering applications (robots, airplanes). A rich variety of joint models, active constraints, as well as active and passive force elements is treated.
Full Description
The dynamics of mechanical rigid-body systems is a highly developed disci pline. The model equations that apply to the tremendous variety of appli cations of rigid-body systems in industrial practice are based on just a few basic laws of, for example, Newton, Euler, or Lagrange. These basic laws can be written in an extreme compact, symmetrical, and esthetic form, simple enough to be easily learned and kept in mind by students and engineers not only from the area of mechanics, but also from other disciplines like physics, mathematics, or even control, hydraulics, and electronics. This latter aspect is of immense practical importance since mechanisms, machines, robots, and ve hicles in modern industrial practice (sometimes called mechatronic systems) usually include various subsystems from the areas of hydraulics, electronics, pneumatics, and control and are built by engineers which are trained in quite different disciplines. Objectives of this monograph This Volume presents a systematic approach for deriving model equations of many planar and spatial mechanisms: 1. As a first step in DAE form along the systematic approach of Volume I. 2. As a second step in symbolic DE form, as nonlinear and linear state-space equations, andin transfer-function form. The objectives of both the theoretical discussions (Volume I) and the practical applications (this volume) are (see Table 1. 1 of Chapter 1, Volume I): 1. To prepare the reader for efficiently handling and applications of general purpose rigid-body programs to complex mechanisms.
Contents
1. Introduction.- 2. Model equations in symbolic DAE and DE form.- 3. Planar models of an unconstrained rigid body.- 4. Planar models of a rigid body under absolute constraints.- 5. Planar models of two rigid bodies under constrained motion.- 6. Spatial models of an unconstrained rigid body.- 7. Spatial models of a rigid body under constrained motion.- 8. Spatial mechanisms with several rigid bodies.- A. Appendix.- A.1 Alternative representation of the spring and damper forces of Section 3.2.- A.2 Auxiliary computations and results associated with the mechanism of Section 8.3.- A.2.1 Explicit form of the constraint equations of the massless links.- A.2.2 Coefficients of the kinematics of the electrical drives.- A.2.3 Computation of the transformation matrix of the forces of the electrical drives.- A.3 Auxiliary computations associated with the example of Section 8.4.- A.3.2 Auxiliary computations used in Section 8.4.9.- References.- List of Figures.
