Springs in Mechanics: Effect on Resonance?

[omri3012]

Homework Statement

Hallo,

I hope my question is not in engineering topic… I have a mechanical problem in which I have a system with two different springs pressed by external force F and identical system except the smaller springs have an opposite helical direction. Does the helical spring direction change some physical behavior of one system comparing the other? And if it does, in what way? Does it affect resonance?
I attached an appropriate scheme for the problem.

If someone have a link or reference on the subject it could be very helpful

Thanks
Omri

 

[jbsteele]

Homework Equations N/A The Attempt at a SolutionYes, the spring direction can change the physical behavior of the system. For example, it can change the stiffness, damping, and natural frequency of the system. It can also affect the resonance of the system, as the resonance frequency is dependent on the stiffness and mass of the system. You can find more information about how the helical direction affects a system in this article: https://www.sciencedirect.com/science/article/abs/pii/S0045794918302485

 

[nlightner]

Hello Omri,

Your question is definitely related to mechanics and is an interesting one. The direction of the helical spring can indeed have an effect on the physical behavior of the system. This is because the direction of the helix determines the direction of the force it exerts when compressed or stretched. In your system, the opposite helical direction of the smaller springs means that they will exert a force in the opposite direction compared to the larger springs. This can result in a difference in the overall stiffness of the system and can also affect its resonance behavior.

In terms of resonance, the direction of the helical spring can impact the natural frequency of the system. The natural frequency is determined by the mass and stiffness of the system, and the direction of the helix can affect the stiffness. This means that the two systems with opposite helical directions may have different natural frequencies, resulting in different resonance behaviors.

I am not aware of any specific references on this exact topic, but I suggest looking into the concept of helical springs and their properties, as well as resonance in mechanical systems. I hope this helps answer your question.

Best,