Analytical and experimental studies were made of the dynamic response of a multidegree-of-freedom system with a geometric nonlinearity, which is encountered in many practical engineering applications. An exact solution was derived for the steady-state motion of a viscously damped two-degree-of-freedom oscillator with an unsymmetric geomtric nonlinearity, under the action of harmonic excitation. Experimental measurements of a distributed-parameter mechanical model under harmonic excitation verified the analytical findings. The effect of various dimensionless parameters on the system response was determined.
Transfer Function of a Class of Nonlinear Multidegree of Freedom Oscillators
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Galhoud, L. E., Masri, S. F., and Anderson, J. C. (March 1, 1987). "Transfer Function of a Class of Nonlinear Multidegree of Freedom Oscillators." ASME. J. Appl. Mech. March 1987; 54(1): 215–225. https://doi.org/10.1115/1.3172961
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