In this chapter, a helical composite spring is substituted for a hypothetical elastic beam located along the axis of a helix. This imaginary beam possesses the same averaged mechanical features as the spring itself. Its elastic properties, such as bending, torsion and compression stiffness, are equal to the matching averaged properties of the helical composite spring. This beam is known as an “equivalent beam” of the composite spring. The equivalent beam equations are substantially easier to solve than the three‐dimensional equations for the helical spring. Critical spring properties, such as axial and transversal stiffness, buckling loads and fundamental frequencies, follow equivalent beam equations. Local properties, like stresses in the wire or contact forces, could be evaluated only with the more complex spatial elastic beam equations. The stability and transversal vibrations of the anisotropic spring are studied from the unified point of view of the equivalent beam concept. The equations for transverse (lateral) vibrations of the compressed coil springs are also derived. This solution expresses the fundamental natural frequency of the transverse vibrations of the beam as a function of axial force.


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    Title :

    Equivalent Beams of Helical Anisotropic Springs


    Contributors:


    Publication date :

    2019-05-13


    Size :

    14 pages




    Type of media :

    Article/Chapter (Book)


    Type of material :

    Electronic Resource


    Language :

    English




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