| Title |
Natural oscillations of single span beam placed on cylindrical supports / |
| Another Title |
Ant cilindrinių atramų padėtos dviatramės sijos savieji virpesiai. |
| Authors |
Kargaudas, V ; Adamukaitis, N ; Žmuida, M |
| DOI |
10.5755/j01.mech.20.3.6365 |
| Full Text |
|
| Is Part of |
Mechanika.. Kaunas : KTU. 2014, vol. 20, no. 3, p. 282-286.. ISSN 1392-1207. eISSN 2029-6983 |
| Keywords [eng] |
natural oscillations ; simply supported beam ; cylindrical support ; nonlinear oscillations |
| Abstract [eng] |
Oscillations of a single spanbeam placed on two circular cylindrical supports are investigated. Contact line of the beam and the support surface changes its location therefore the span length also alternates. Nonlinear equation of motion is transformed to linear differential equation, where displacement instead of time is the independent variable and the first integral in a phase plane velocitydisplacement is deduced. Dependence of displacement on time is expressed in Jacobian elliptic functions in the second integral. The complete period of the oscillations is almost the same as when supports are hinges but the halfperiods and the half-amplitudes in upper and lower portions of the motion are significantly distorted. The level of the distortion is increasing when amplitude of oscillations and radius of the support circle are growing. The beam, placed on cylindrical supports, oscillates about a center shifted up compared with the same hinged beam. |
| Published |
Kaunas : KTU |
| Type |
Journal article |
| Language |
English |
| Publication date |
2014 |
| CC license |
|
