Effect of rotatory inertia and shear deformation on vibration of an inclined bar with an end constraint

✍ Scribed by C.H. Chang; Y.C. Juan

• Publisher: Elsevier Science
• Year: 1985
• Tongue: English
• Weight: 457 KB
• Volume: 101
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/s0022-460x(85)81213-x

✦ Synopsis

A set of equations for the free vibration of an inclined bar with an end constraint including the effect of rotatory inertia and shear deformation is derived by the variational method. The equations for the axial and transverse vibrations are coupled by the end constraint. Exact solutions for the linearized equations are obtained. The effect of rotatory inertia without and with shear deformation is examined. It is shown by the characteristic equation that when the shear deformation is included, the characteristic values may change from real values for low frequencies to imaginary values for high frequencies. Frequency spectra of the first six (some seven) modes for various end conditions are presented.