A wave, having a wavelength of 4.0 meters and an amplitude of 25 meters, travels a distance of 24 meters in 8.0 seconds. What is the frequency and the period of the wave? What is the period of a wave that travels through a spring at 2.5 m / s and has a wavelength...
The amplitude of a damped mass-spring system can be calculated using the equation A = A0e^(-ζωnt), where A0 is the initial amplitude, ζ is the damping ratio, ωn is the natural frequency, and t is the time. Alternatively, it can also be determined by measuring the maximum displace...
Assume that the head of a jack-in-the-box toy is bouncing upward and downward on a spring. Furthermore, the angular frequency of the oscillation isω=π/6radians/s, and the phase shift isϕ= 0 radians. Moreover, the amplitude of the bouncing is 5.00 cm. So, what is the position ...
Response amplitude operator (RAO) refers to the movement of a floating vessel in six degrees of freedom: Surge, Sway, Heave, Roll, Pitch, and Yaw due to a passing hydrodynamic wave (Ref. Fig. 4.18). RAOs are used as input data for calculations to define the displacements, accelerations, ...
M(t − t′) is the memory function and c the nonlinear spring coefficient. The angular brackets < .. > denote an average over a unit sphere ⟨…⟩=1/(4π)∫|u|=1…du where a tube segment of unit length and orientation is given by the unit vector u. In the stress...
The finite amplitude, free vibrational characteristics of a simple mechanical system consisting of an axisymmetric rigid body supported by a highly elastic tubular shear spring subjected to axial, rotational, and coupled shearing motions are studied. Two classes of elastic tube materials are considered:...
In Fig. 1c, we report the evolution of the rotation and longitudinal displacement of the second and fortieth pairs of crosses as a function of time during two different experiments. We find that when the amplitude of the input signal is large (A2 = max(θ2(t)) = 13° in exp...
The finite amplitude, free vibrational characteristics of a simple mechanical system consisting of an axisymmetric rigid body supported by a highly elastic tubular shear spring subjected to axial, rotational, and coupled shearing motions are studied. Two classes of elastic tube materials are considered:...
Inverse Spectral-Scattering Problems on the Half-Line with the Knowledge of the Potential on a Finite Interval The inverse spectral and scattering problems for the radial Schr枚dinger equation on the half-line \\({[0,\\infty)}\\) are considered for a real-valued, i... Y Yang,G Wei ...
Furthermore, an equation is derived for the two‐dimensional Rayleigh‐wave propagation underneath a grating surface. A grating of finite width is shown to... Haus,A Hermann - 《Journal of Applied Physics》 被引量: 176发表: 1977年 Crack detection in beams by wavelet analysis In this paper,...