Hi,
I am planning to do a research in nonlinear vibration. I have downloaded so many papers in nonlinear vibration & I have done a detailed literature survey also. Based on that I have planned to do research in nonlinear vibration analysis of beams. Before finalizing the topic I want to ensure some points. i.e.,
If I am doing research on any topic by experimentally and analytically, we can easily come to the conclusion like what is the impact of doing the research
But in my case, I have planned to do research by analytically and using software. So in that case,what is the social impact of doing nonlinear vibration analysis of beams or in other way, what are the benefits of doing nonlinear vibration analysis of beams.
How we can relate this topic with the practical cases. Could anybody share your ideas regarding this. It will be very useful for me for finalizing the topic.
Hi...
Actually as far as I know, this field of study tries using and implementing new method for solving nonlinear ODE and PDEs. It also deals with deriving and extracting governing vibrational equation of dynamic systems. Implementing the effects of boundary conditions on frequencies is also the other topic in this area. There are some new methods or new systems or new boundary conditions which can not experimentally be tested. These cases are on the cutting edges and these novel problems sometimes are validated using softwares.
Hi Guru,
Nonlinear vibration is a vast subject. There are many groups all around the world working on in understanding and implementing it on various applications especially in MEMS. Let me elaborate on this: Many inertial sensors benefit from nonlinear theory where in they are kept on the boundary of stability making them very sensitive to external variations such as accelerations, mass and other forces. So people try implementing controls to place accelerometer at the verge of instability making sensitive to linear accelerations, micro beams as mass sensors for any change in masses etc. The mass sensors which can detect bomb explosives very fast (atleast more than the ones used in linear region) can improve the safety in airports and other public places. The small size, easy to fabricate (MEMS micro machining) and faster response time improves the quality!
So from research perspective you may want to study the different forces which work in microscale which are negligible in macro scale like casimir forces etc.... The field is vast and very promising. I wish you all the best in your research endeavours.
I think you should try to think of a problem that is relevant to your field of interest and then scale it down mathematically making assumption. For example, you can consider applications such as drilling. Drilling results in axial, lateral and torsional vibrations. These vibrations couple. May be there is someway of looking at this problem by doing non linear analysis on beam elements. I wish you all the best
I think that you should calculate the effect of nonlinear vibration on transmissibility ratio for your system
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