Sentence examples for using the superposition technique from inspiring English sources
The source map obtained using the superposition technique was found to be identical to that obtained using the TRSL damping technique, however, the computational cost was much higher.
The electrostatic potential is obtained using the Superposition method.
Its analytical solution was obtained using the superposition principle and finite integral transfer method.
The root mean squared deviation (RMSD) was calculated using the superposition algorithm due to McLachlan [ 18].
Firstly, the seismic response of isolated tanks is obtained using the modal superposition technique and compared with the exact response to study the effects of non-classical damping.
Second, based on the closed form solution and using the mode superposition technique, the eigenvalue equation of the "constrained" plate (with any number of concentrated elements attached) is derived.
This study presents an analytical method which combines the superposition technique along with the solution structure theorem such that a closed-form solution of the hyperbolic heat conduction (HHC) equation can be obtained using fundamental mathematics.
Random vibration for linear structures uses the superposition principle.
Using mode superposition technique, the bridge deflection in flexure has been shown by Meriovitch [36] as y x,t) = sumlimits_{k = 1}^{infty } {varphi_{k} (x q_{k} (t)}, (10 where ( phi_{k} left( x right) ) is the flexural mode of the beam for simply supported boundary condition and q k (t) is the generalized co-ordinates in the kth mode.
Using modal superposition technique [21] the displacement of the beam is expressed as y x,t) = sumlimits_{k = 1}^{infty } {phi_{k} } (x q_{k} (t) (3)where ϕ k (x) denotes the mode shape function of the beam, q k (t) the generalized coordinate corresponding to the kth mode.
The comparisons with the published results using the well-established superposition technique validate the proposed formulation and show its quick convergence.
