Abstract
A scheme is proposed to overcome the discontinuity at the end of an impulse. This scheme is very simple in the step-by-step solution of shock response. The only change is the loading input at the time instant of load discontinuity in performing the step-by-step integration. The average value of the two discontinuity values at the integration point of load discontinuity is used to replace the use of one of them for loading input. The motivation of this change originates from the concept of no loading input error associated with the integration point of load discontinuity. The feasibility of this scheme is analytically explored. Analytical results reveal that this change in loading input will lead to no extra impulse and thus no extra displacement. Consequently, an accurate shock response can be computationally efficiently obtained. Two numerical examples are also used to confirm the analytical results. The scheme proposed will not increase any computational effort or complicate the dynamic analysis codes.
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