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In this work, a hybrid, that is, discrete in time and continuous in space, sensitivity analysis for dynamic structures using isogeometric analysis is presented. The main focus is placed on using a direct differentiation technique to derive sensitivity matrices for displacement, velocity and acceleration. To gain further understanding of the sensitivity information, a singular value decomposition is...
We use an extended balance of linear momentum derived from stress field analysis of higher order terms in power series expansion. Thus, the balance equation accounts for higher gradients of stress in the contiguity of continuum points. Interestingly, it does not coincide with the balance of linear momentum from strain gradient elasticity. As shown in [1], it exhibits an inverse sign for the extended...
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