Validation of Numerical Evaluation of Dynamic Response of Lumped Parameter Systems Using Runge-Kutta-Nyström (R-K-N) Method

2006 ◽  
Author(s):  
Essam F. Tawfik
2013 ◽  
Vol 44 ◽  
pp. 153-167 ◽  
Author(s):  
Z. Ozdemir ◽  
P. Coulier ◽  
M.A. Lak ◽  
S. François ◽  
G. Lombaert ◽  
...  

Author(s):  
Isaias Cueva-Perez ◽  
Roque Alfredo Osornio-Rios ◽  
Aurelio Dominguez-Gonzalez ◽  
Ion Stiharu ◽  
Angel Perez-Cruz

In recent years, the need for portable, low-cost, and eco-friendly devices for testing and monitoring has arisen. Paper-based devices have emerged as a response to these needs due to the properties induced by capillarity, flexibility, disposability, and biodegradability. In this work, the authors explored the possibility of tuning the hygro-mechanical response of paper-based cantilever beams using glycerol. A lumped-parameter model with non-linear stiffness is used to describe the dynamic response of the beams using three parameters. An experimental method based on resonance frequency tests is used to study the influence of glycerol on the dynamic response of four different beam configurations. The obtained results demonstrate that the resonance frequency of paper-based mechanical systems can be easily tuned by the imbibition of a glycerol–water solution. This study could lead to the development of tunable paper-based mechanical systems for specific applications such as energy harvesters and hygro-mechanical-based sensors.


2017 ◽  
Vol 25 (3) ◽  
pp. 689-706 ◽  
Author(s):  
O. H. Hassoon ◽  
M. Tarfaoui ◽  
A. El Moumen ◽  
H. Benyahia ◽  
M. Nachtane

2011 ◽  
Vol 133 (4) ◽  
Author(s):  
Christopher G. Cooley ◽  
Robert G. Parker ◽  
Sandeep M. Vijayakar

A finite element formulation for the dynamic response of gear pairs is proposed. Following an established approach in lumped parameter gear dynamic models, the static solution is used as the excitation in a frequency domain solution of the finite element vibration model. The nonlinear finite element/contact mechanics formulation provides an accurate calculation of the static solution and average mesh stiffness that are used in the dynamic simulation. The frequency domain finite element calculation of dynamic response compares well with numerically integrated (time domain) finite element dynamic results and previously published experimental results. Simulation time with the proposed formulation is two orders of magnitude lower than numerically integrated dynamic results. This formulation admits system level dynamic gearbox response, which may include multiple gear meshes, flexible shafts, rolling element bearings, housing structures, and other deformable components.


2015 ◽  
Vol 656 ◽  
pp. 012159 ◽  
Author(s):  
Xin Liu ◽  
Zhengwei Wang ◽  
Xavier Escaler ◽  
Lingjiu Zhou

2013 ◽  
Vol 706-708 ◽  
pp. 1310-1313
Author(s):  
Ji Yan Wang

This paper establishes a linking dynamic model of SFD-sliding bearing rigid rotor system by employing Runge-Kutta method to solve dynamic question of the above systems. The study has shown: rigid rotor system can keep stable periodic motion in a certain scope with the following quasi-periodicity bifurcation.


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