Wave approach in dynamical discrete-continuous systems
MetadataShow full item record
CitationPielorz, A. (2009). Wave approach in dynamical discrete-continuous systems. Maltepe Üniversitesi. s. 95.
The paper deals with the dynamics of discrete-continuous systems consisting of elastic elements connected by means of rigid bodies. They belong to a certain class of discrete-continuous systems, namely to those where the motion of elastic elements with a constant cross-section is described by means of the classical wave equation, [1-3]. The discussed systems can be longitudinally or torsionally deformed. In the discussion a wave method using the solution of the d’Alembert type is applied, what leads to solving equations with a retarded argument. After a short description of the approach applied, detailed considerations are done for two nonlinear discrete-continuous systems. The first one consists of three noncoaxial rods longitudinally deformed, two rigid bodies and a local nonlinearity having characteristics of a hard type as well as of a soft type. In systems with a hard type characteristic amplitudes jumps are observed while in systems with a soft type characteristic solutions amplitudes can diverge to infinity. The second one is a multi-mass system torsionally deformed with rigid bodies having variable mass moments of inertia. Local nonlinearities and variable inertia in such systems are justified by engineering solutions in many machines and mechanisms. Moreover, it is shown that in linear cases analytical solutions can be derived in the form of series consisting of exponential functions and polynomials.
SourceInternational Conference of Mathematical Sciences
- Makale Koleksiyonu 
The following license files are associated with this item: