Einstein, relativity, and absolute simultaneity

Subjects: “…Space and time.…”
NetLibrary
ebrary
MyiLibrary

Introduction to fourier series by Lasser, Rupert

Application of dimensional analysis in systems modelling and control design by Balaguer, Pedro

Table of Contents: “…-- 1.3.Application of dimensional analysis to science in general -- 1.3.1.Structure of physical relations -- 1.3.2.Dimensionless representation -- 1.3.3.Dimensional similarity -- 1.4.Application of dimensional analysis to control problems -- 1.4.1.Identification and model validation -- 1.4.2.Control theory -- 1.4.3.Control engineering -- 1.5.Book contents -- 2.Dimensional analysis and dimensional similarity -- 2.1.Physical quantities, units, and dimensions -- 2.1.1.Physical quantity -- 2.1.2.Units -- 2.1.3.Dimensions: fundamental and derived -- 2.1.4.Arithmetic of dimensions -- 2.2.Systems of units: dependence and independence of dimensions -- 2.2.1.System of units -- 2.2.2.Monomial power law -- 2.2.3.Dependent and independent dimensions -- 2.3.Buckingham pi theorem -- 2.4.Matrix approach for finding the dimensionless numbers -- 2.4.1.The dimensional matrix -- 2.4.2.The dimensional set -- 2.5.Dimensional similarity -- 2.5.1.Scale factors -- 2.5.2.Model law -- 2.6.Exercises -- References -- 3.Dynamical systems: dimensionless representation -- 3.1.Introduction -- 3.2.Transfer function dimensionless representation -- 3.2.1.Transfer function parameter dimensions -- 3.2.2.Transfer function parameters with independent dimensions -- 3.2.3.Transfer function dimensionless numbers -- 3.2.4.Dimensionless transfer function -- 3.3.State space dimensionless representation -- 3.3.1.Interpretation of the state space dimensionless transformation -- 3.4.Comparison between transfer function and state space dimensionless representation -- 3.5.Discrete time models dimensionless representation -- 3.5.1.Discrete time transfer function dimensionless representation -- 3.5.2.Discrete time state space model dimensionless representation -- 3.6.Exercises -- References -- 4.Dynamical systems: dimensional similarity -- 4.1.Introduction -- 4.2.Continuous time dynamical systems similarity -- 4.2.1.Transfer function dimensional similarity -- 4.2.2.State space dimensional similarity -- 4.3.Discrete time dynamical system similarity -- 4.3.1.Discrete time transfer function similarity -- 4.3.2.Sampled-data transfer function similarity -- 4.3.3.Discrete state space similarity -- 4.4.Exercises -- References -- 5.Dimensionless systems identification and model order reduction -- 5.1.Introduction -- 5.2.General procedure -- 5.3.Example 1: Second order inverse response model identification -- 5.3.1.Problem statement -- 5.3.2.Dimensionless representation of second order inverse response model -- 5.3.3.Identification procedure -- 5.3.4.Application examples -- 5.4.Example 2: Reduced effective transfer function reduction for PID decentralized control -- 5.4.1.Problem statement -- 5.4.2.Dimensionless representation of the reduced effective transfer function -- 5.4.3.Inverse response analysis -- 5.4.4.Reduced order model: general case -- 5.4.5.Reduced order model: particular cases -- 5.4.6.Application examples -- References -- 6.Homogeneity of PID tuning rules -- 6.1.Introduction -- 6.2.Homogeneous PID tuning rules -- 6.2.1.Dimensionless controller parameters -- 6.2.2.Homogeneous tuning rules characterization -- 6.2.3.Dimensionless controller representation with homogeneous tuning rules -- 6.3.Closed loop transfer functions -- 6.3.1.Loop transfer function GC -- 6.3.2.Dimensionless closed loop transfer functions -- 6.4.Optimality of homogeneous tuning rules -- 6.4.1.Weighting factors -- 6.5.Homogeneous and nonhomogeneous tuning rules -- References -- 7.Dimensionless PID tuning rules comparison -- 7.1.Introduction -- 7.2.Elements of the comparative framework -- 7.3.Dimensionless comparative framework -- 7.4.Dimensionless elements -- 7.4.1.Loop transfer function GC -- 7.4.2.Dimensionless closed loop transfer functions -- 7.4.3.Dimensionless integral errors -- 7.4.4.Indexes -- 7.5.Application example -- 7.5.1.PID tuning rules dimensionless characterization -- 7.5.2.Dimensionless sensitivity bandwidth comparison Wb -- 7.5.3.Dimensionless sensitivity peak comparison -- 7.5.4.Dimensionless integral absolute error -- 7.5.5.Dimensionless control action variation -- 7.6.PID tuning rules selection -- References -- 8.Control of dimensionally similar systems -- 8.1.Introduction -- 8.2.Control of dimensionally similar systems -- 8.3.Complete similarity -- 8.3.1.Continuous time control -- 8.3.2.Discrete time control -- 8.4.Partial similarity -- 8.5.Experimental case study -- References -- 9.Adaptive systems -- 9.1.Introduction -- 9.2.Actuator limitations and dimensionally similar model reference -- 9.2.1.Control effort -- 9.2.2.Similar model reference adaptive control -- 9.3.SMRAC for first order plants -- 9.4.SMRAC for arbitrary order plants -- 9.4.1.SMRAC control scheme -- 9.4.2.SMRAC stability analysis -- 9.4.3.SMRAC operation modes -- 9.5.Application example…”

Mechanics for engineers dynamics by Hibbeler, R.C

Table of Contents: “…12 Kinematics of a Particle -- 12.1 Introduction --12.2 Rectilinear Kinematics: Continuous Motion -- 12.3 Rectilinear Kinematics: Erratic Motion --12.4 General Curvilinear Motion --12.5 Curvilinear Motion: Rectangular Components --12.6 Motion of a Projectile --12.7 Curvilinear Motion: Normal and Tangential Components -- 12.8 Curvilinear Motion: Cylindrical Components --12.9 Absolute Dependent Motion Analysis of Two Particles --12.10 Relative-Motion of Two Particles Using Translating Axes --13 Kinetics of a Particle: Force and Acceleration -- 13.1 Newton's Second Law of Motion -- 13.2 The Equation of Motion -- 13.3 Equation of Motion for a System -- of Particles -- 13.4 Equations of Motion: Rectangular Coordinates -- 13.5 Equations of Motion: Normal -- and Tangential Coordinates --13.6 Equations of Motion: Cylindrical Coordinates --13.7 Central-Force Motion and Space Mechanics -- 14 Kinetics of a Particle: Work and Energy --14.1 The Work of a Force -- 14.2 Principle of Work and Energy --14.3 Principle of Work and Energy for a System of Particles --14.4 Power and Efficiency -- 14.5 Conservative Forces and Potential Energy --14.6 Conservation of Energy -- 15 Kinetics of a Particle: Impulse and Momentum -- 15.1 Principle of Linear Impulse and Momentum -- 15.2 Principle of Linear Impulse and Momentum for a System of Particles -- 15.3 Conservation of Linear Momentum for a System of Particles -- 15.4 Impact -- 15.5 Angular Momentum -- 15.6 Relation Between Moment of a Force and Angular Momentum -- 15.7 Principle of Angular Impulse and Momentum -- 15.8 Steady Flow of a Fluid Stream -- 15.9 Propulsion with Variable Mass -- 16 Planar Kinematics of a Rigid Body -- 16.1 Planar Rigid-Body Motion -- 16.2 Translation -- 16.3 Rotation about a Fixed Axis -- 16.4 Absolute Motion Analysis -- 16.5 Relative-Motion Analysis: Velocity -- 16.6 Instantaneous Center of Zero Velocity -- 16.7 Relative-Motion Analysis: Acceleration -- 16.8 Relative-Motion Analysis using Rotating Axes -- 17 Planar Kinetics of a Rigid Body: Force and Acceleration -- 17.1 Mass Moment of Inertia -- 17.2 Planar Kinetic Equations of Motion -- 17.3 Equations of Motion: Translation-- 17.4 Equations of Motion: Rotation about a Fixed Axis -- 17.5 Equations of Motion: General Plane Motion -- 18 Planar Kinetics of a Rigid Body: Work and Energy -- 18.1 Kinetic Energy -- 18.2 The Work of a Force -- 18.3 The Work of a Couple Moment -- 18.4 Principle of Work and Energy -- 18.5 Conservation of Energy -- 19 Planar Kinetics of a Rigid Body: Impulse and Momentum -- 19.1 Linear and Angular Momentum -- 19.2 Principle of Impulse and Momentum -- 19.3 Conservation of Momentum --19.4 Eccentric Impact -- 20 Three-Dimensional Kinematics of a Rigid Body -- 20.1 Rotation About a Fixed Point --20.2 The Time Derivative of a Vector Measured from Either a Fixed or Translating-Rotating System -- 20.3 General Motion -- 20.4 Relative-Motion Analysis Using Translating and Rotating Axes -- 21 Three-Dimensional Kinetics of a Rigid Body -- 21.1 Moments and Products of Inertia -- 21.2 Angular Momentum -- 21.3 Kinetic Energy -- 21.4 Equations of Motion -- 21.5 Gyroscopic Motion -- 21.6 Torque-Free Motion -- 22 Vibrations -- 22.1 Undamped Free Vibration --22.2 Energy Methods -- 22.3 Undamped Forced Vibration -- 22.4 Viscous Damped Free Vibration -- 22.5 Viscous Damped Forced Vibration -- 22.6 Electrical Circuit Analogs --A Mathematical Expressions -- B Vector Analysis -- C The Chain Rule -- Fundamental Problems Partial…”