The propagation of a pulse in the real strings and rods
نویسنده
چکیده
We consider the elastic rod of a large mass M , the left end of which is fixed to a body of mass m << M and the second body of mass m is fixed to the right end of the rod. The force of the delta-function form is applied to the left side of the rod. We find the propagation of the pulse in the system. Our problem represents the missing problem in the Newton “Principia mathematica” and in any textbook on mechanics. The relation of our theory to the quark-string model of mesons is evident.
منابع مشابه
Rheological Response and Validity of Viscoelastic Model Through Propagation of Harmonic Wave in Non-Homogeneous Viscoelastic Rods
This study is concerned to check the validity and applicability of a five parameter viscoelastic model for harmonic wave propagating in the non-homogeneous viscoelastic rods of varying density. The constitutive relation for five parameter model is first developed and validity of these relations is checked. The non-homogeneous viscoelastic rods are assumed to be initially unstressed and at rest....
متن کاملInvestigating the Properties of an Optical Waveguide Based on Photonic Crystal with Point Defect and Lattice Constant Perturbation
In this paper, a photonic crystal waveguide with point defects and lattice constant perturbations of +5%, -5% are being investigated. Firstly waveguide structures with constant and specific parameters are being studied and photonic band gap diagrams for TE/TM modes are depicted; then pulse propagation in the frequencies available in the band gap are shown. After that, effects of parameters like...
متن کاملImpact of Ocean-Land Mixed Propagation Path on Equivalent Circuit of Grounding Rods
In this paper, the effect of ocean-land mixed propagation path on the lightning performance of grounding rods is investigated. This effect is focused on two problems. The first is extracting exact equivalent circuit of grounding rods in the presence of oceans. The equivalent circuit can be used in transient analysis of power systems in the neighboring oceans. In the second one, this effect on t...
متن کاملUnique Solution of Short Pulse Propagation in Nonlinear Fiber Bragg Grating
In this study, a new numerical method is introduced to obtain the exact shape of output pulse in the chalcogenide fiber Bragg grating (FBG). A Gaussian pulse shape with 173 ps width is used as an input pulse for lunching to a 6.6 mm nonlinear FBG. Because of bistable and hysteresis nature of nonlinear FBG the time sequence of each portion of pulse is affected the shape of output pulse. So we di...
متن کاملAn Adaptive Physics-Based Method for the Solution of One-Dimensional Wave Motion Problems
In this paper, an adaptive physics-based method is developed for solving wave motion problems in one dimension (i.e., wave propagation in strings, rods and beams). The solution of the problem includes two main parts. In the first part, after discretization of the domain, a physics-based method is developed considering the conservation of mass and the balance of momentum. In the second part, ada...
متن کامل