An anharmonic solution to the equation of motion for the simple pendulum In the small-angle regime the formula becomes equivalent to the result for the period of the linear pendulum. The present derivation of an anharmonic ... K Johannessen - 《European Journal of Physics》 被引量: 17发表:...
Deceptively simple harmonic motion: A mass on a spiral spring The oscillatory motion of a mass on a spiral (nonhelical) spring is shown to have a closed‐form solution in terms of Bessel functions of order 2/3. The lo... McDonald,F Alan - 《American Journal of Physics》 被引量: 43...
Provides a simple derivation and specific form for Kruppa's equations based on the Singular Value Decomposition of the fundamental matrix. Discussion of pr... Hartley,Richard,I. - 《IEEE Transactions on Pattern Analysis & Machine Intelligence》 被引量: 336发表: 1997年 The Role of Total Least ...
Dynamical symmetries and constants of the motion for classical particle systems A short derivation of the Noether identity is given which is independent of the integration processes of Hamilton's variational principle. For mappings of ... Katzin,H Gerald - 《Journal of Mathematical Physics》 被引量...
The derivation of short-period terms is based on an expansion of the rate of change of the RungeLenz vector. Then, the short-period terms are ... G Nikolaos - 《Monthly Notices of the Royal Astronomical Society》 被引量: 25发表: 2010年 Illustrating Dynamical Symmetries in Classical Mechanics...
We prove that the Hausdorff dimension of the trace of SLE_6 is almost surely 7/4 and give a more direct derivation of the result (due to Lawler-Schramm-Werner) that the dimension of its boundary is 4/3. We also prove that, for all \kappa<8, the SLE_{\kappa} trace has cut-points...
An approximate expression for the large angle period of a simple pendulum A heuristic but pedagogical derivation is given of an explicit formula which accurately reproduces the period of a simple pendulum even for large amplitude... Rajesh,R,Parwani - 《European Journal of Physics》 被引量: 79...
The General Equation of Motion via the Special Theory of Relativity and Quantum Mechanics Part i: a New Approach to Newton Equation of Motion Herein we present a whole new approach to the derivation of the Newton Equation of Motion; throughout Part II of the present work, this shall lead to...
A relatively simple, yet effective, formulation and numerical methodology is proposed for the vibration analysis of thin-walled cylindrical shells subjected to any variationally consistent set of boundary conditions at the boundaries. Using the Budiansky-Sanders first-order shell theory and adopting as ...
Aims: A simple, but realistic estimate of the frequency uncertainty in time series analyses. Methods: Synthetic data sets with mono- and multi-periodic harmonic signals and with randomly distributed amplitude, frequency and phase were generated and white noise added. We tried to recover the input ...