Sentence examples for The present analytical from inspiring English sources
The present analytical solutions include the effects of shear and interface deformations.
The present analytical theory and the supporting mathematical techniques are thoroughly verified.
The present analytical solutions are validated through comparisons with those available in open literature.
The present analytical method is also applicable to evaluating the misfit in other systems.
The present analytical solutions are compared with three-dimensional finite element analysis results and absolute agreements are found.
The present analytical solutions can serve as benchmarks for numerous simplified analyses and various numerical codes in the future.
The present analytical results for instability boundaries are compared with those of experiments carried out by one of the authors.
The present analytical model is based on the linearized stability theory and is capable of predicting exact buckling loads.
The present analytical solution can be obtained with any required accuracy and can be used as benchmark.
The present analytical model can predict the large deflection behavior with local indention of sandwich beam reasonably.
The present analytical work illustrates a thorough assessment of the seismic performance of an existing reinforced concrete (RC) bridge with framed piers designed for gravity loads only.
