Publications in Scientific Journals:
C. Adam:
"Forced vibrations of elastic bending - torsion coupled beams";
Journal of Sound and Vibration,
221
(1999),
2;
273
- 287.
English abstract:
The objective of the present paper is to analyze coupled bending and torsional vibrations of distributed-parameter beams. The governing coupled set of partial differential equations is solved by separating the dynamic response into a quasistatic and a complementary dynamic response. The quasistatic portion that may also contain singularities or discontinuities due to sudden load changes is determined in a closed form. The remaining complementary dynamic part is non-singular and can be approximated by a truncated modal series of fast accelerated convergence. The solution of the resulting generalized decoupled single-degree-of-freedom oscillators is given by means of Duhamel's convolution integral, whereby the acceleration of the loads is the driving term. The proposed procedure is illustrated for a dynamically loaded simply supported beam with channel cross-section, and the improvement in comparison to the classical modal analysis is demonstrated.
German abstract:
The objective of the present paper is to analyze coupled bending and torsional vibrations of distributed-parameter beams. The governing coupled set of partial differential equations is solved by separating the dynamic response into a quasistatic and a complementary dynamic response. The quasistatic portion that may also contain singularities or discontinuities due to sudden load changes is determined in a closed form. The remaining complementary dynamic part is non-singular and can be approximated by a truncated modal series of fast accelerated convergence. The solution of the resulting generalized decoupled single-degree-of-freedom oscillators is given by means of Duhamel's convolution integral, whereby the acceleration of the loads is the driving term. The proposed procedure is illustrated for a dynamically loaded simply supported beam with channel cross-section, and the improvement in comparison to the classical modal analysis is demonstrated.
Created from the Publication Database of the Vienna University of Technology.