Sentence examples for closed-form response from inspiring English sources
The benefits of mirror-frequency-rejecting STF design will be demonstrated graphically and numerically in Section 6 using the earlier closed-form response analysis results and computer simulations.
Once the closed-form response surface models are obtained, a commercially available design optimization tool, design optimization tool (DOT), is used to search for the optimum design point.
It is also shown in the article through closed-form response analysis that the so-called mirror-frequency-rejecting STF design can offer additional operating robustness in challenging scenarios, such as the presence of strong mirror-frequency blocking signals under I/Q imbalance, which is an unavoidable practical problem with quadrature circuits.
A single-term closed-form frequency response equation is also extracted and compared with the multi-term harmonic balance solution.
For routine design calculations of turbulence-induced forces, a closed-form gust response thickness correction factor was developed for NACA 65 series airfoils.
The approximation error is quantified and found to be reasonably small, and tractable closed-form transient response functions are provided along with a discussion of numerical issues.
Closed-form time-dependent response statistics such as (i) the variance of displacement response and variance of velocity response, (ii) the covariance of displacement and velocity responses, and (iii) covariances of displacement responses and velocity responses of structures, discretized by the finite element method, subjected to a wide class of non-stationary random excitations are presented.
The closed-form steady state response for coupled electrical output and structural vibration are obtained under harmonic time base excitation.
Closed-form solutions for the response of beams subjected to a single deterministic moving force are obtained.
We also develop a general closed-form solution for the response when a force is applied at a free end.
To verify the closed-form solution, the dynamic response of system is numerically evaluated by implementation of Galerkin scheme in conjunction with Runge-Kutta finite difference method.
