Closed-form random vibration response for columns on elastic foundation and subjected to axial force

2019 ◽  
Vol 194 ◽  
pp. 431-440 ◽  
Author(s):  
Isaac Elishakoff ◽  
Antoine Ajenjo
Keyword(s):  
Closed Form ◽  
Elastic Foundation ◽  
Axial Force ◽  
Random Vibration ◽  
Vibration Response

Closed-form moment-curvature relations for reinforced concrete cross sections under bending moment and axial force

2016 ◽  
Vol 129 ◽  
pp. 67-80 ◽  
Author(s):  
Pedro Dias Simão ◽  
Helena Barros ◽  
Carla Costa Ferreira ◽  
Tatiana Marques
Keyword(s):  
Reinforced Concrete ◽  
Closed Form ◽  
Axial Force ◽  
Cross Sections ◽  
Bending Moment

Random Vibration Response II: Simple Examples

1971 ◽  
pp. 87-95
Author(s):  
John D. Robson ◽  
Colin J. Dodds ◽  
Donald B. Macvean ◽  
Vincent R. Paling
Keyword(s):  
Random Vibration ◽  
Vibration Response

Characterization of Contact Damping and Frequency in Elastic-Plastic Contact

2008 ◽  
Author(s):  
A. Sepehri ◽  
K. Farhang
Keyword(s):  
Decay Rate ◽  
Closed Form ◽  
Natural Frequency ◽  
Compressive Load ◽  
Vibration Response ◽  
Elastic Plastic ◽  
Exponential Decay Rate ◽  
Damping Rate ◽  
Nonlinear Normal

Elastic-plastic interaction of a block of rough surface with a smooth plane is considered in this paper. The nonlinear normal vibration response of the block is examined when subject to an external compressive load. Free vibration response of the block is studied. The vibration response corresponds to the application of a constant compressive external load and the study yields closed-form equations for the contact damping rate and contact natural frequency. It is shown that vibration decay rate is constant as opposed to the exponential decay rate for the linear vibrating systems. Closed form equations relating contact damping rate and contact natural frequency to the surface parameters are given.

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