Calculation of Angular Natural Frequency of Beam:Clamped - Clamped,Uniform section,Undamped Free Vibration,Uniformly distributed load.

Calculation of Angular Natural Frequency of Beam:Clamped - Clamped,Uniform section,Undamped Free Vibration,Uniformly distributed load.

1Length of Beam:lm-
2Mode:i -
3Young's modules:E *10^5 N/mm^21*10^9(N/m^2)=0.01*10^5(N/mm^2)
4Area moment of inertia of beam cross section:I cm^41(mm^4)=0.0001(cm^4)
5Mass per unit length of beam:u kg/m-
6Graph Plot Input Data: , Figure:
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Keyword・Reference・Remarks・History

LaTex

Keyword

Angular Natural Frequency of Beam,Clamped,Uniform section,Undamped Free Vibration,Uniformly distributed load.

Reference

[1]:Cyril M.Harris・Charles E.Crede:『SHOCK AND VIBRATION HANDBOOK IN THREE VOLUMES』,McGraw-Hill,pp.1-10~1-16,1961.
[2]:社団法人土木学会:『構造力学公式集 昭和61年版』,pp.217-218,1986.
[3]:岡本舜三:『建設技術者のための振動学(第2版)』,オーム社,pp.80-82,1976.

Remarks

・E:young's modules
・I:Area moment of inertia of beam cross section
・l:Length of beam
・u:Mass per unit length of beam
・λi:Coefficient
・Making Equation Image is powered by CODECOGS

History

・2010/10/15:Modification of error.
・2010/10/07:Upload

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