Abstract
The incremental harmonic balance (IHB) method is popularly used in the nonlinear analysis of dynamic systems. It is, however, only applicable to polynomial type geometrical nonlinearity which greatly limits its application to more general nonlinear systems. The IHB method is extended (EIHB) in this report to overcome this limitation with a simple procedure for evaluating the stiffness matrix. The EIHB is versatile in dealing with any type of continuous nonlinear functions including the piecewise linear function and hysteretic restoring force function. Several nonlinear Single-Degree-of-Freedom (SDoF) systems are adopted for illustration of the proposed method. One more simple 7-DoFs suspension bridge deck and one more complicated 48-Dofs frame structure with buckling restrained braces are analyzed. New observations are noted from the analysis which would otherwise be difficult to obtain via existing methods. The proposed method is concluded to be simpler and convenient for nonlinear dynamic analysis of complicated structural system than existing methods.
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