Sentence examples for mode the equation from inspiring English sources
Considering the orthogonality of the main vibration mode, the equation of motion can be obtained as m_{ii} ddot{q}_{i} + 2m_{ii} omega_{ii} xi_{i} dot{q}_{i} + m_{ii} omega_{ii}^{2} q_{i} = Q_{i} left( t right)quad left( {i = 1,2,3, ldots,n} right), (17 where m ii, ω ii, ( xi_{i} ) and Q i (t) are the ith modal mass, angular frequency, damping ratio and generalized force, respectively.
The bending load was calculated when the PK sandwich structure was bent as stable shear mode and the equation could express the non-linear elastic characteristics during the bending process by applying the effective shear modulus of inner PK cores.
On the base of the Eckenfelder mode, the kinetics equation of the NH3 N transformation along the reactor was Se = S0 exp(−0.0134D/L1.2612).
In the limit of infinitely long samples, there is a quasicontinuum of oscillatory modes of the equation linearized about the steady state that a acquire positive real part for voltages larger than a certain critical value.
The results are then extended to multi-mode structures by including a quasi-static representation of the background modes in the equations for the damped mode.
The multi-objective equation in this study is defined in terms of the biomass growth flux F B and the reducing equivalent diversion flux F N. There are two objective formulations; one (Equation 1) is for modelling the DET and MET modes, the other (Equation 2) is for the DET mode with the flavin secretion.
To calculate the UBRR value for asynchronous normal mode, we used the equation.
In the electrostatic domain, the problem is to solve for the even- and odd-modes the Laplace equation of homogeneous cases, with fixed boundary conditions.
For the fundamental mode with j = 0 this linearized approximation is typically accurate even for inductance ratios up to L J / l d ≈ 0.5, whereas for the higher harmonic modes the linearized equation breaks down for much smaller values of L J / l d.
Applying Galerkin's method for the first bending mode, the forced Mathieu Duffing equation is derived.
