In this research, vibration and wave propagation analysis of a twisted micro- beam on Pasternak foundation is investigated. The strain-displacement relations (kine-matic equations) are calculated by the displacement...In this research, vibration and wave propagation analysis of a twisted micro- beam on Pasternak foundation is investigated. The strain-displacement relations (kine-matic equations) are calculated by the displacement fields of the twisted micro-beam. The strain gradient theory (SGT) is used to implement the size dependent effect at micro-scale. Finally, using an energy method and Hamilton's principle, the governing equations of motion for the twisted micro-beam are derived. Natural frequencies and the wave prop- agation speed of the twisted micro-beam are calculated with an analytical method. Also, the natural frequency, the phase speed, the cut-off frequency, and the wave number of the twisted micro-beam are obtained by considering three material length scale parameters, the rate of twist angle, the thickness, the length of twisted micro-beam, and the elastic medium. The results of this work indicate that the phase speed in a twisted micro-beam increases with an increase in the rate of twist angle. Moreover, the wave number is in- versely related with the thickness of micro-beam. Meanwhile, it is directly related to the wave propagation frequency. Increasing the rate of twist angle causes the increase in the natural frequency especially with higher thickness. The effect of the twist angle rate on the group velocity is observed at a lower wave propagation frequency.展开更多
It is a known fact that the epileptic power situation in Nigeria has become a recurring decimal. In the light of this stark reality of a country like Nigeria which is constantly plunged into pitch darkness all year ro...It is a known fact that the epileptic power situation in Nigeria has become a recurring decimal. In the light of this stark reality of a country like Nigeria which is constantly plunged into pitch darkness all year round, it has become expedient for a sustainable and urgent remedy to be sought if our country will ever think of rubbing shoulders with the economies of the world. It is this pathetic scenario, we find ourselves in that it has given rise to this paper which tends to review possible ways and means of redressing the ugly trend. This paper examines the prospects and possible applications of Smart Grid Technology (SGT) to the Nigeria Power System. Nigeria Power System consists of 28 buses, 32 Transmission lines and 10 generating stations, with a view to reduce the high active and reactive transmission losses. The study shows that smart grid system will make the present network more efficient and reliable by connecting different sources of distributed generators into the existing grid. Basic requirements necessary for the application of SGT using the Nigeria Power System as a case study were discussed.展开更多
基金Project supported by the Iranian Nanotechnology Development Committee and the University of Kashan(No.463855/11)
文摘In this research, vibration and wave propagation analysis of a twisted micro- beam on Pasternak foundation is investigated. The strain-displacement relations (kine-matic equations) are calculated by the displacement fields of the twisted micro-beam. The strain gradient theory (SGT) is used to implement the size dependent effect at micro-scale. Finally, using an energy method and Hamilton's principle, the governing equations of motion for the twisted micro-beam are derived. Natural frequencies and the wave prop- agation speed of the twisted micro-beam are calculated with an analytical method. Also, the natural frequency, the phase speed, the cut-off frequency, and the wave number of the twisted micro-beam are obtained by considering three material length scale parameters, the rate of twist angle, the thickness, the length of twisted micro-beam, and the elastic medium. The results of this work indicate that the phase speed in a twisted micro-beam increases with an increase in the rate of twist angle. Moreover, the wave number is in- versely related with the thickness of micro-beam. Meanwhile, it is directly related to the wave propagation frequency. Increasing the rate of twist angle causes the increase in the natural frequency especially with higher thickness. The effect of the twist angle rate on the group velocity is observed at a lower wave propagation frequency.
文摘It is a known fact that the epileptic power situation in Nigeria has become a recurring decimal. In the light of this stark reality of a country like Nigeria which is constantly plunged into pitch darkness all year round, it has become expedient for a sustainable and urgent remedy to be sought if our country will ever think of rubbing shoulders with the economies of the world. It is this pathetic scenario, we find ourselves in that it has given rise to this paper which tends to review possible ways and means of redressing the ugly trend. This paper examines the prospects and possible applications of Smart Grid Technology (SGT) to the Nigeria Power System. Nigeria Power System consists of 28 buses, 32 Transmission lines and 10 generating stations, with a view to reduce the high active and reactive transmission losses. The study shows that smart grid system will make the present network more efficient and reliable by connecting different sources of distributed generators into the existing grid. Basic requirements necessary for the application of SGT using the Nigeria Power System as a case study were discussed.