Many nonlinearities that are encountered in engineering systems, including aeroelastic ones, are discontinuous in nature. The most ubiquitous example of such nonlinearities is friction that, in its simplest form, can be modelled as a constant force that changes sign when the velocity crosses zero. Several other such functions are common, especially in bearings and actuators. This chapter concentrates on the latter and, in particular, on piecewise linear stiffness. Freeplay is a piecewise linear stiffness function, whereby the stiffness is linear and non‐zero outside specific limits known as the freeplay limits. The chapter looks at the response of the 2D pitch‐plunge‐control wing with freeplay in the control surface. It presents briefly the boundary equilibrium bifurcation and shows that piecewise linear systems can undergo limit cycle oscillations. The chapter also discusses in more detail the bifurcations that occur in piecewise linear systems, usually referred to as Discontinuity‐Induced Bifurcations (DIB).


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    Title :

    Discontinuous Nonlinearities


    Contributors:


    Publication date :

    2017-03-28


    Size :

    51 pages




    Type of media :

    Article/Chapter (Book)


    Type of material :

    Electronic Resource


    Language :

    English