Sommerfeld effect in rotationally symmetric planar dynamical systems

On suppression of chaotic motions of a portal frame structure under non-ideal loading using a magneto-rheological damper

“…The study of non-ideal vibrating systems, that is, when the excitation is influenced by the response of the system, has been considered a major challenge in theoretical and practical engineering research (as examples, among others, see Bolla et al (2007), Castão et al (2010), Samantaray et al (2010), Djanan et al (2013). In this work, we observed chaotic vibrations of a portal frame structural system mathematical model under non-ideal loading.…”

Steady-state and transient responses of a flexible eccentric spinning shaft

“…The motivation of this research is the first step to study the dynamic response of a complex rotor system driven by DC motor. DC motor is one of the non-ideal energy sources, whch causes generation of the Sommerfeld effect in the rotor system characterized by the jump phenomena [9,12,19,22]. This helps to determine the stability criteria of the high speed rotor shaft, when the system passes through the various resonance frequencies.…”

“…Arnold Sommerfeld [1] discovered a phenomenon, better known as the Sommerfeld effect, which is characterized by the jumps in the system response at critical values of power input to the source. Several literatures are available on non-ideal systems [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. It is well established that the structural response of the system to which a non-ideal drive is connected may act like energy sink under certain conditions so that a part of the energy supplied by the source is spent to vibrate the structure rather than to increase the drive speed.…”

Synchronization investigation of vibration system of two co-rotating rotor with energy balance method

“…Fang et al 24 applied Zhang's method to investigate the selfsynchronization of two co-rotating rotors coupled with a pendulum rod in a far-resonant vibration system. For investigation of rotor dynamics, K Samantaray et al [25][26][27] considered that the non-ideal rotor and sommerfeld effect influence on the dynamics characteristics, which promotes the development of the dynamics theory of the rotors. In this article, we introduce energy balance method to study the synchronization of the rotor system.…”