Sentence examples for based on the secant from inspiring English sources
A numerical procedure based on the secant method is implemented in MATLAB for solving the governing ordinary differential equations.
A new index was then proposed, based on the secant stiffness that corresponds to the critical functional load.
An iteration scheme based on the secant system operator is given for the solution of the perturbation equations in case that a tangent matrix is not available.
The traditional definition of stiffness degradation based on the secant stiffness that corresponds to the peak forces and displacements for each loading cycle was found unsuitable for evaluating the residual stiffness of resilient structures.
The proposed procedure determines the equivalent damping in such a way that when this damping is applied to a SDOF system with a definite effective period which is obtained based on the secant stiffness in the maximum displacement response, response of this SDOF system becomes consistent with the nonlinear time-history analysis response.
In this paper, we propose a new conjugate gradient method which is based on the MBFGS secant condition by modifying Perry's method.
Based on the concept of secant stiffness, the optimal damping ratios, which minimize the errors of maximum displacement between EL analysis and NLTH analysis, are calculated and averaged over 12 ground motions.
A unit cell model mimicking tensile tests is established and based on the proposed model, the secant Poisson's ratio is defined as the negative ratio between the lateral and the longitudinal engineering strains.
The ultimate results of the calculated yield strength based on the maximum displacement and secant stiffness is corresponding to the effective period.
This is possible by solving the resulted nonlinear and transcendental eigenvalue problem using two general methods, one based on the Wittrick Williams algorithm adapted to handle end release and rigid offset, and the other on the power deflation secant method.
