Generalized curved beam on elastic foundation solved by transfer matrix method

2011 ◽  
Vol 40 (2) ◽  
pp. 279-295 ◽  
Author(s):  
Marcello Arici ◽  
Michele Fabio Granata
Keyword(s):  
Elastic Foundation ◽  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Curved Beam ◽  
Beam On Elastic Foundation

Vibration study of a composite pipeline supported on elastic foundation using a transfer matrix method

2021 ◽  
pp. 107754632098537
Author(s):  
Dongyang Chen ◽  
Junwei Yang ◽  
Weican Guo ◽  
Yanjia Liu ◽  
Chaojie Gu
Keyword(s):  
Elastic Foundation ◽  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
High Efficiency ◽  
Fluid Velocity ◽  
Simulation Method ◽  
Pipeline System ◽  
Simulation Results ◽  
The Stability

Efficient and accurate simulation of the vibration characteristics of a composite pipeline system is the key to the study of the stability and vibration control of the pipeline system. A simulation method called transfer matrix method for multibody systems is used to predict the vibration of a composite pipeline resting on an elastic soil. The transfer matrix of the Euler–Bernoulli beams considering the internal fluid velocity and high-efficiency dynamics model of the pipeline system under the action of the elastic foundation are derived. The simulation results have good agreement with that of the literature and commercial software ANSYS Workbench which verified the accuracy of the numerical model. The simulation results show that with the increase of the velocity, the natural frequencies of each mode of the pipeline decrease continuously. When the first frequency is zero, the pipeline buckling occurs and the velocity reaches the critical velocity; the elastic coefficient and shear coefficient in the foundation coefficient are positively related to the stability of the pipeline system. The damping coefficient is negatively related to pipeline stability.

scholarly journals Transfer matrix method for elastic-plastic problem of space-curved beam structure

2019 ◽  
Vol 85 (874) ◽  
pp. 19-00026-19-00026
Author(s):  
Sho-ichi KURODA ◽  
Masayuki ARAI ◽  
Kiyohiro ITO
Keyword(s):  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Curved Beam ◽  
Beam Structure ◽  
Elastic Plastic

Structural Responses of Surfac-Mounted Piezoelectric Curved Beams

2010 ◽  
Vol 26 (4) ◽  
pp. 439-451
Author(s):  
R.-T. Wang
Keyword(s):  
Transfer Matrix ◽  
External Force ◽  
Applied Voltage ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Curved Beam ◽  
Curved Beams ◽  
Structural Responses

ABSTRACTThe formulation of one Timoshenko curved beam on which a pair of piezoelectric segments bonded is presented. The analytical-transfer matrix method is adopted to study structural responses of the surface-mounted actuation curved beam induced by an external force at the tip of the beam and by an applied voltage on the actuator. The effects of length, location and thickness of the piezoelectric pair on the structural responses of the entire curved beam are investigated.

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