Some examples of simple harmonic motion include a mass on a spring bobbing up and down as a result of an extension or compression of the spring, a small angle pendulum rocking backwards and forwards under the influence of gravity and even two-dimensional examples of circular motion like a chil...
Van-Der-Pols Equation In subject area: Mathematics Featured on this page Chapters and Articles You might find these chapters and articles relevant to this topic. Higher-order linear differential equations Martha L. Abell, James P. Braselton, in ...
The displacement from equilibrium of an object in harmonic motion on the end of a spring is y=1/4*cos 8t-1/4*sin 8t where y is measured in feet and t is the time in seconds. Determine the position andThe di...
The nonlinear diffusion equation of the ideal barotropic gas through a porous medium is considered. If the diffusion coefficient is degenerate on the boundary, then the solutions may be controlled by the initial value completely, the well-posedness of th
This allowed ready application of the tidal straining paradigm to this semi-enclosed sea. Simpson et al. (1990) elegantly show how differential advection by a vertical velocity shear acting upon a depth independent horizontal density gradient can be used to explain the oscillation of the stability...
In this paper, the forced oscillation of certain systems of nonlinear neutral impulsive partial deferential equations with delays is studied. 研究了一类非线性中立型时滞脉冲偏微分方程系统解的强迫振动性,在给定的边界条件下得到了系统解强迫振动的若干判别准则,推广了已知的结果。 更多例句>> 4...
4) hard-spring type of Duffing equation 硬弹簧型达芬方程 1. An advantage of Galerkin method was that, for a given trial function, the residuals of the dynamic von Karman partial differential equations could be eliminated easily, thereby the governing equation of an annular thin plate for force...
The block stops momentarily at the end of each oscillation. At this point, the block stays at rest if the spring cannot overcome the force of static friction between the block and the table. Specifically, when the block stops, we must check the following condition: x(t)<μ...
The medium itself does not move, but if we look at it as an interlinked series of several particles, we can say that when a wave interacts with one particle. It allows the wave to pass through the disturbance to the interacting particles. For example, a spring coil has a medium of a ...
This formulation is reminiscent of the frequency of the non-parametric nonlinear oscillation in the absence of the parameter q [20,21]. At this stage, the nonlinear Mathieu Eq. (2) has been reduced to the linearized form as given in Eq. (3) in which the frequency ω0 represents a new...