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  2. Hooke's law - Wikipedia

    en.wikipedia.org/wiki/Hooke's_law

    In physics, Hooke's law is an empirical law which states that the force (F) needed to extend or compress a spring by some distance (x) scales linearly with respect to that distance—that is, F s = kx, where k is a constant factor characteristic of the spring (i.e., its stiffness), and x is small compared to the total possible deformation of the spring.

  3. Stiffness - Wikipedia

    en.wikipedia.org/wiki/Stiffness

    Stiffness is the extent to which an object resists deformation in response to an applied force. [ 1 ] The complementary concept is flexibility or pliability: the more flexible an object is, the less stiff it is.

  4. Natural frequency - Wikipedia

    en.wikipedia.org/wiki/Natural_frequency

    In a mass–spring system, with mass m and spring stiffness k, the natural angular frequency can be calculated as: = In an electrical network , ω is a natural angular frequency of a response function f ( t ) if the Laplace transform F ( s ) of f ( t ) includes the term Ke − st , where s = σ + ω i for a real σ , and K ≠ 0 is a constant ...

  5. Flexibility method - Wikipedia

    en.wikipedia.org/wiki/Flexibility_method

    Flexibility is the inverse of stiffness. For example, consider a spring that has Q and q as, respectively, its force and deformation: The spring stiffness relation is Q = k q where k is the spring stiffness. Its flexibility relation is q = f Q, where f is the spring flexibility. Hence, f = 1/k.

  6. Series and parallel springs - Wikipedia

    en.wikipedia.org/wiki/Series_and_parallel_springs

    The following table gives formula for the spring that is equivalent to a system of two springs, in series or in parallel, whose spring constants are and . [1] The compliance c {\displaystyle c} of a spring is the reciprocal 1 / k {\displaystyle 1/k} of its spring constant.)

  7. p-y method - Wikipedia

    en.wikipedia.org/wiki/P-y_method

    In geotechnical civil engineering, the p–y is a method of analyzing the ability of deep foundations to resist loads applied in the lateral direction. This method uses the finite difference method and p-y graphs to find a solution.

  8. Stiff equation - Wikipedia

    en.wikipedia.org/wiki/Stiff_equation

    A linear constant coefficient system is stiff if all of its eigenvalues have negative real part and the stiffness ratio is large. Stiffness occurs when stability requirements, rather than those of accuracy, constrain the step length. Stiffness occurs when some components of the solution decay much more rapidly than others. [3]

  9. Rayleigh's quotient in vibrations analysis - Wikipedia

    en.wikipedia.org/wiki/Rayleigh's_quotient_in...

    The Rayleigh's quotient represents a quick method to estimate the natural frequency of a multi-degree-of-freedom vibration system, in which the mass and the stiffness matrices are known.