The period of a conservative system vibrating in a constrained type about a position of stable equilibrium is stationary in value when the type is normal. We might prove this from the original equations of vibration, but it will be more convenient to... The Theory of Sound - Page 109by John William Strutt Baron Rayleigh - 1894Full view - About this book
| John William Strutt Baron Rayleigh - Sound - 1877 - 984 pages
...of the equations of motion leads to a theorem of considerable importance, which may be thus stated1. **The period of a conservative system' vibrating in...of freedom, is represented by taking the quantities** cj1 in given ratios. If we put h = Af, 4,t = Aj9, &c ................... (1), 6 is a variable quantity,... | |
| John William Strutt (3rd baron Rayleigh.) - 1877
...of the equations of motion leads to a theorem of considerable importance, which may be thus stated1. **The period of a conservative system vibrating in a...type is normal. We might prove this from the original** equa? tions of vibration, but it will be more convenient to employ the normal co-ordinates. The constraint,... | |
| John William Strutt Baron Rayleigh - Sound - 1894 - 984 pages
...not normal) has been discussed by Somof and by Routh2.] 88. The interpretation of the equations 7)f **motion leads to a theorem of considerable importance,...of freedom, is represented by taking the quantities** <£ in given ratios. If we put ^ = 4,0, $, = AJ,*K ................... (1), 0 is a variable quantity,... | |
| John William Strutt Baron Rayleigh, Robert Bruce Lindsay - Science - 1945 - 520 pages
...of the equations of motion leads to a theorem of considerable importance, which may be thus stated*. **The period of a conservative system vibrating in a...of freedom, is represented by taking the quantities** 6 in given ratios. If we put fa=aJ, 4,t = A,0,bc ................... (1), 8 is a variable quantity,... | |
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