Nonlinear dynamics analysis of pipe conveying fluid by Riccati absolute nodal coordinate transfer matrix method

摘要: Based on the absolute nodal coordinate (ANC) formulation and transfer matrix method (TMM), a novel efficient Riccati ANC–TMM is applied to nonlinear dynamics analysis of pipe conveying fluid with large deformations. By deducing new equations elements in ANC frame introducing transform technology into solution algorithm, can be calculated highly stable. An illustrative comparison simulation cantilever by using this ordinary presented, its critical velocity other behavior are analyzed. Compared method, avoids higher-order global differential or differential-algebra system, therefore, computational efficiency could improved essentially. It may further extended study dynamic characteristics under condition arbitrarily overall motions commonly elastic supports easily.