System reduction-based approximate reanalysis method for statically indeterminate structures with high-rank modification

Module2: Analysis of statically indeterminate structures by matrix force method

Face Recognition Based Rank Reduction SVD Approach

Standard face recognition algorithms that use standard feature extraction techniques always suffer from image performance degradation. Recently, singular value decomposition and low-rank matrix are applied in many applications,including pattern recognition and feature extraction. The main objective of this research is to design an efficient face recognition approach by combining many tech...

An approximate method for solving fractional system differential equations

IIn this research work, we have shown that it is possible to use fuzzy transform method (FTM) for the estimate solution of fractional system differential equations (FSDEs). In numerical methods, in order to estimate a function on a particular interval, only a restricted number of points are employed. However, what makes the F-transform preferable to other methods is that it makes use of all poi...

Using Rotations to Obtain Compatibility Equations for Statically Indeterminate Trusses

This paper presents a new way of determining the compatibility conditions for statically indeterminate trusses. It is based on equations relating the angular displacements (rotations) of truss elements to the corresponding extensions obtained by requiring the displacements of the truss structure to be compatible, i.e., single valued. This new angular displacement method is likely to be most adv...

Exact and Accurate Solutions in the Approximate Reanalysis of Structures

Combined approximations (CA) is an efŽ cient method for reanalysis of structures where binomial series terms are used as basis vectors in reduced basis approximations. In previous studies high-quality approximations have been achieved for large changes in the design, but the reasons for the high accuracy were not fully understood. In this work some typical cases, where exact and accurate soluti...