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Vibration of nonuniform simply-supported beams
Natural frequencies and corresponding mode shapes for nonuniform simply-supported beams are investigated; deflections are approximated by Fourier series and in addition to this normal procedure, mass and moment of inertia functions are also approximated by Fourier expansions; end result is infinite number of homogeneous linear simultaneous algebraic equations in Fourier deflection coefficients; finite number of equations are used in approximating frequencies and mode shapes; examples show good agreement between these approximations and those obtained by more exact methods.
Vibration of nonuniform simply-supported beams
Natural frequencies and corresponding mode shapes for nonuniform simply-supported beams are investigated; deflections are approximated by Fourier series and in addition to this normal procedure, mass and moment of inertia functions are also approximated by Fourier expansions; end result is infinite number of homogeneous linear simultaneous algebraic equations in Fourier deflection coefficients; finite number of equations are used in approximating frequencies and mode shapes; examples show good agreement between these approximations and those obtained by more exact methods.
Vibration of nonuniform simply-supported beams
ASCE -- Proc (J Eng Mechanics Div)
Heidebrecht, A.C. (author)
1967
15 pages
Article (Journal)
English
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