... this problem, an iterative algorithm with the following three main steps is proposed. 05 04 2011 16 09 2011 25 09 2011 28 11 2011 28 11 2011 continuum mechanics fast Fourier transforms interpolation iterative methods mechanical engineering computing mechanical variables...

... that the discretized mass matrix dimension matches the number of sensed quantities, and hence the dimension of the response ensemble and correlation matrix. In this case, the linear interpolation of unsensed displacements is used to reduce the size of the mass matrix. The idea is applied to the modal identification...

..., and is found to be remarkably efficient in searching solutions. The numerical accuracy is further improved by the implementation of quadratic interpolation functions. The computational results are validated by comparing with the commercial software packages as well as the existing analytical solutions...

...J. L. Liu Piecewise interpolation polynomials are employed to approximate an arbitrary dynamic load. By extending the Duhamel integral, we can offer a numerical solution technique of the differential equation of motion in various kinds of material and damping cases in every branch of force...