In addition, a linear fractional derivative anelastic displacement field element replaces the multiple linear anelastic displacement field elements used in the older model.
Hence, it is capable to model the abrupt changes of slope (the first derivative of displacement) across a crack.
Finally, nonlinearity is introduced into the fractional derivative anelastic displacement field element, in an attempt to capture observed amplitude dependence of storage and loss moduli at higher amplitudes.
In this paper, He's homotopy perturbation method is applied to nonlinear Jerk equations involving the third temporal derivative of displacement.
In the design case, kinematic characteristic analysis of this cam follower shows that the order of continuous derivative of displacement transfer function is higher, the characteristic value of its dynamic torque is smaller, and its jerk at the impact point is smaller than some common disc cam mechanisms.
We obtained the slope (the numerical derivative) at displacement = 0. of the psychometric function for each of the 16 combinations of CLT and cue repetition.
We calculated movement time as the time elapsed from movement onset to movement end, peak velocity, as the maximum peak of the first derivative of displacement over time, and time to peak velocity.
In contrast to these classical theories, the peridynamic equation of motion introduced by Silling (2000) is free of any spatial derivatives of displacement.
It is significant that the higher-order derivatives of displacement parameters have been taken out from the expression of transverse shear stresses by employing the three-field Hu-Washizu (HW) variational principle, which is convenient for the finite element implementation.
Special attention is given to the formulation that is based on the tractions and the tangential derivatives of displacements along solid boundary, since its integral kernels have the weakest singularities.
This paper proposes an accurate higher-order C0 theory which is very different from other published higher-order theory satisfying the interlaminar stress continuity, as the first derivative of transverse displacement has been taken out from the in-plane displacement fields of the present theory.
