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Amplitude of driven vibrations
Posted 4 lug 2011, 13:53 GMT-4 Modeling Tools & Definitions, Parameters, Variables, & Functions, Structural Mechanics Version 4.1 2 Replies
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Hi,
Imagine a hollow wineglass shape that has a fixed boundary condition at the stem of the wineglass and free everywhere else. This has various modes (the rim vibrates in various ways), e.g. outward at North and South and inward at East and West rim (by "outward" and "inward" at the rim I mean, for a snapshot in time). Let's call that one Mode 1.
Another mode which happens to be orthogonal would be outward at Northeast and Southwest and inward at Northwest and Southeast. Let's call that one Mode 2.
Another mode with a lower modal number is where North goes outward and South goes inward. Call that Mode 3.
I have to apply a sinusoidal force to the Northern-most point on the wineglass (e.g. F = (1 Newton)*Sin(omega*t) ), and see what displacement amplitude each mode gets excited to, due to that force. For instance, Mode 1 and 3 above would be excited by that driving force while Mode 2 would not.
So the output I seek is, say, that Mode 3 gets excited to an amplitude, say, 1.2 times larger than Mode 1 when the same (1 Newton)*Sin(omega*t) is applied, and that Mode 2 is not excited (amplitude is virtually zero because you are driving at a node.
How do I go about this? Thanks
Imagine a hollow wineglass shape that has a fixed boundary condition at the stem of the wineglass and free everywhere else. This has various modes (the rim vibrates in various ways), e.g. outward at North and South and inward at East and West rim (by "outward" and "inward" at the rim I mean, for a snapshot in time). Let's call that one Mode 1.
Another mode which happens to be orthogonal would be outward at Northeast and Southwest and inward at Northwest and Southeast. Let's call that one Mode 2.
Another mode with a lower modal number is where North goes outward and South goes inward. Call that Mode 3.
I have to apply a sinusoidal force to the Northern-most point on the wineglass (e.g. F = (1 Newton)*Sin(omega*t) ), and see what displacement amplitude each mode gets excited to, due to that force. For instance, Mode 1 and 3 above would be excited by that driving force while Mode 2 would not.
So the output I seek is, say, that Mode 3 gets excited to an amplitude, say, 1.2 times larger than Mode 1 when the same (1 Newton)*Sin(omega*t) is applied, and that Mode 2 is not excited (amplitude is virtually zero because you are driving at a node.
How do I go about this? Thanks
2 Replies Last Post 14 lug 2011, 21:39 GMT-4