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  2. Response amplitude operator - Wikipedia

    en.wikipedia.org/wiki/Response_amplitude_operator

    Different modelling and design criteria will affect the nature of the 'ideal' RAO curves (as plotted graphically) being sought for a particular ship: for example, an ocean cruise liner will have a considerable emphasis placed upon minimizing accelerations to ensure the comfort of the passengers, while the stability concerns for a naval warship will be concentrated upon making the ship an ...

  3. Vibratory stress relief - Wikipedia

    en.wikipedia.org/wiki/Vibratory_stress_relief

    Figure 2: Reverse ring time, or RRT, is the time period between the start of vibration excitation, and full resonant amplitude. [8] The most frequently used method of finding the resonances of a workpiece during vibratory stress relief is to scan through the vibrator speed range, and record / plot the vibration amplitude vs. the vibrator speed.

  4. Roark's Formulas for Stress and Strain - Wikipedia

    en.wikipedia.org/wiki/Roark's_Formulas_for_Stress...

    The topics covered in the 7th Edition: Chapter 1 – Introduction Chapter 2 – Stress and Strain: Important Relationships Chapter 3 – The Behavior of Bodies Under Stress Chapter 4 – Principles and Analytical Methods Chapter 5 – Numerical Methods Chapter 6 – Experimental Methods Chapter 7 – Tension, Compression, Shear, and Combined Stress

  5. Vibration of plates - Wikipedia

    en.wikipedia.org/wiki/Vibration_of_plates

    Vibration mode of a clamped square plate. The vibration of plates is a special case of the more general problem of mechanical vibrations.The equations governing the motion of plates are simpler than those for general three-dimensional objects because one of the dimensions of a plate is much smaller than the other two.

  6. Duhamel's integral - Wikipedia

    en.wikipedia.org/wiki/Duhamel's_integral

    where m is the (equivalent) mass, x stands for the amplitude of vibration, t for time, c for the viscous damping coefficient, and k for the stiffness of the system or structure.

  7. Vibration isolation - Wikipedia

    en.wikipedia.org/wiki/Vibration_isolation

    Vibration isolation is the prevention of transmission of vibration from one component of a system to others parts of the same system, as in buildings or mechanical systems. [1] Vibration is undesirable in many domains, primarily engineered systems and habitable spaces, and methods have been developed to prevent the transfer of vibration to such ...

  8. Vibrations of a circular membrane - Wikipedia

    en.wikipedia.org/wiki/Vibrations_of_a_circular...

    The vibrations of the membrane are given by the solutions of the two-dimensional wave equation with Dirichlet boundary conditions which represent the constraint of the frame. It can be shown that any arbitrarily complex vibration of the membrane can be decomposed into a possibly infinite series of the membrane's normal modes.

  9. Poincaré–Lindstedt method - Wikipedia

    en.wikipedia.org/wiki/Poincaré–Lindstedt_method

    The method removes secular terms—terms growing without bound—arising in the straightforward application of perturbation theory to weakly nonlinear problems with finite oscillatory solutions. [1] [2] The method is named after Henri Poincaré, [3] and Anders Lindstedt. [4]