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  3. The Matrix Analysis of Vibration
  • Cited by 7
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    • Publisher:
      Cambridge University Press
      Publication date:
      24 November 2009
      31 May 1979
      ISBN:
      9780511569487
      9780521098854
      DOI:
      https://doi.org/10.1017/CBO9780511569487
      Dimensions:
      Weight & Pages:
      Dimensions:
      (244 x 170 mm)
      Weight & Pages:
      0.66kg, 420 Pages
      • Subjects:
      Mathematics, Engineering, Engineering Design, Kinematics, and Robotics, Mathematical Modeling and Methods
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    Subjects:
    Mathematics, Engineering, Engineering Design, Kinematics, and Robotics, Mathematical Modeling and Methods
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    Book description

    Vibration problems arise in the design of almost all engineering machinery and structures. Many of these problems are extremely complex but their solution is essential if a safe and satisfactory design is to be achieved. The equations of motion are often insoluble by the classical methods of the calculus and so it is necessary to approximate on order to reduce them to a set of linear equations. The use of matrices simplifies the solution of sets of linear equations. This book describes the matrix formulation of the equations of motion and techniques for the solution of matrix equations. The book describes some typical computer methods and also includes a large number of problems (with solutions) which may conveniently be solved by using a desk calculating machine.

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