Effects of Several Types of Damping on the Dynamical Behavior of Harmonically Forced Single-Degree-of-Freedom Systems,
Abstract
In general, the investigation of practical dynamical systems is more heuristic than rigorous; consequently, most literature attempts to provide a conceptual key to the general treatment of the response by correlation with linear theory. Practically none of this literature sets forth any new ideas of basic methods of attack. The usual attack is by extending present classical methods rather than by inventing new basic approaches. The major limitation found in the existing work is the lack of comprehensive understanding of the basic parameters of simple nonlinear oscillators. This thesis presents an accurate solution of several types of damping on the dynamical behavior of harmonically forced single-degree-of-freedom systems. The study is based on the fundamental parameters of the system. The fundamental response is described with reference to the equivalent damping energy, the Ritz method, and dimensional analysis. Dimensional analysis is used to develop a method for predicting the general response diagram characteristics. The high accuracy of the solutions permitted the collection of some very important design data. The results are presented in both graphical and tabular from and may be useful to those engaged in calibration, design, and data analysis of work requiring an accurate solution. Also, the linearized methods give results sufficiently accurate for many engineering applications. The prediction of response characteristics by dimensional analysis should be of interest. The time-histories of displacement, velocity, and acceleration are presented along with the response diagrams of displacement, velocity, acceleration, phase angle, and energy curves by both the linear and accurate solutions. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 02, 1967
- Accession Number
- ADA036695
Entities
People
- Jimmy F. Byers
Organizations
- University of Texas at Austin