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Introductory Dynamics

Nguồn ngoài

Introductory Dynamics

In this book we will introduce the core concepts in dynamics and provide a comprehensive toolset to predict and analyse planar 2D motion of point masses and rigid bodies. The material includes kinematic analysis, Newton’s laws, Euler’s laws, the equations of motion, work, energy, impulse and momentum. Vector-based methods are discussed for systematically solving essentially any problem in 2D dynamics.

Mechanical EngineeringEngineering
Tác giả
Peter G. Steeneken
Nhà xuất bản
Delft University of Technology
Nguồn
LibreTexts
Giấy phép
CC BY
Ngôn ngữ
EN
Đọc trực tuyến Tải PDF (nguồn mở)
Mục lục· 113 mục
  1. 01: Introduction
  2. 01: Preface
  3. 1.01: Guidelines for studying dynamics
  4. 1.02: Topics
  5. 1.03: Text structure
  6. 1.04: Acknowledgements
  7. 02: Notation Math and Engineering Basics
  8. 2.01: Notation
  9. 2.02: Working with units
  10. 2.03: Precision significant digits and errors
  11. 2.04: Solving first-order differential equations
  12. 2.05: Complex numbers
  13. 2.06: How to solve problems
  14. 2.07: Plausibility checks
  15. 03: Vectors and Coordinates
  16. 3.01: Vectors in mechanics
  17. 3.02: Drawing vectors
  18. 3.03: Coordinate systems
  19. 3.04: Vectors products
  20. 3.05: Vector functions fields and calculus
  21. 04: Introduction to Dynamics
  22. 4.01: Dynamics and motion
  23. 4.02: Newton's laws of motion
  24. 4.03: Outline and elements of dynamics
  25. 02: Dynamics of Point Masses
  26. 05: Kinematics of Point Masses
  27. 5.01: Space time and motion
  28. 5.02: Constrained and predetermined kinematics
  29. 5.03: Displacement
  30. 5.04: Velocity
  31. 5.05: Acceleration
  32. 5.06: The equations of motion
  33. 5.07: Kinematic analysis as a function of time t
  34. 5.08: Kinematic analysis with the path coordinate s
  35. 5.09: Kinematic analysis and coordinate systems
  36. 5.10: Segmented kinematics
  37. 5.11: Summary
  38. 06: Kinetics of Point Masses
  39. 6.01: Newton's second law
  40. 6.02: Defining mass
  41. 6.03: What is force
  42. 6.04: Procedure for determining the EoM
  43. 6.05: Sketch of the dynamic system
  44. 6.06: Choose and draw coordinate systems
  45. 6.07: Determine the constraint equations
  46. 6.08: Drawing the free-body diagram
  47. 6.09: Force expressions and projections
  48. 6.10: Obtaining the equations of motion
  49. 6.11: Equations of motion in kinetics
  50. 6.12: Relative motion and inertial reference frames
  51. 6.13: Forces and constaints
  52. 6.14: Summary
  53. 07: Work and Energy
  54. 7.01: Principle of work and energy
  55. 7.02: Conservation of energy
  56. 7.03: Potential energy of specific force fields
  57. 7.04: Solving problems with work and energy
  58. 7.05: Summary
  59. 08: Impulse and Momentum
  60. 8.01: Principle of impulse and momentum
  61. 8.02: Analysing problems with impulse
  62. 8.03: Impulse and momentum of a system
  63. 8.04: Law of conservation of momentum
  64. 8.05: Collisions
  65. 8.06: Collision against a wall
  66. 8.07: Summary
  67. 03: Rigid Body Dynamics
  68. 09: Kinematics of Rigid Bodies
  69. 9.01: Rigid bodies
  70. 9.02: Orientation and position
  71. 9.03: Velocities in a rigid body
  72. 9.04: Angular acceleration of a rigid body
  73. 9.05: Special types of motion
  74. 9.06: Integration and differentiation over angles
  75. 9.07: Motion in rotating reference frames
  76. 9.08: Summary
  77. 10: Kinetics of Rigid Bodies
  78. 10.01: Effects of a force on a rigid body
  79. 10.02: Kinetics of the CoM and Euler's first law
  80. 10.03: Rotation analysis in kinetics
  81. 10.04: Solving the planar EoM for rigid bodies
  82. 10.05: Moment of inertia
  83. 10.06: Euler's second law for special cases
  84. 10.07: Vectors in dynamics
  85. 10.08: Derivation moment on a system
  86. 10.09: Angular momentum of a rigid body
  87. 10.10: Derivation of Euler's second law
  88. 10.11: Summary
  89. 11: Work and Energy of Rigid Bodies
  90. 11.01: Work on a rigid body
  91. 11.02: Kinetic energy of a rigid body
  92. 11.03: Principle of work and energy
  93. 11.04: Conservation of energy and potential energy
  94. 11.05: Potential energy of a torsion spring
  95. 11.06: Derivation of kinetic energy of a rigid body
  96. 11.07: Summary
  97. 12: Angular Impulse and Angular Momentum
  98. 12.01: Principle of angular impulse and angular momentum
  99. 12.02: Choosing a convenient reference point
  100. 12.03: Conservation of an angular momentum
  101. 12.04: Using angular impulse and angular momentum
  102. 12.05: Summary
  103. 04: Vibrations and Strategy
  104. 13: Vibrations
  105. 13.01: Introduction
  106. 13.02: Free undamped vibrations
  107. 13.03: Free damped vibrations
  108. 13.04: Forced vibrations
  109. 13.05: Summary
  110. 14: Solution Strategy Dynamics
  111. 14.01: Flowchart preparation
  112. 14.02: Flowchart kinematics
  113. 14.03: Flowchart kinetics