Sentence examples for modal matrix and from inspiring English sources

The feedback gain between the piezoelectric actuators/sensors for the modal control is obtained using the in-vacuo modal matrix and the incompressible fluid-loaded modal matrix.

Numerical results for complex modal identifications are presented, and the quality of the identified modal matrix and modal responses, extracted using the complex SOBI technique and implementing the proposed formulation, is assessed.

This approach avoids for large systems the impractical step of having to find the entire modal matrix and its inverse and then apply these matrices as a similarity transformation to the system matrix.

The set of axes of vibrations yields the modal matrix and the response at the mass center is expressed by the reciprocal product between the axes of vibration and the applied wrench.

The displacement and strain mode shapes that are determined with the strain EMA are not mass normalized (scaled with respect to the orthogonality properties of the mass-normalized modal matrix), and therefore some dynamical properties of the system cannot be obtained.

Aggregate pool formation among metabolites was determined through the calculation of the angles between columns in the modal matrix, (4) in which refers to the magnitude of the ith column of the modal matrix and ϑ ij refers to the angle between the ith and jth columns of the modal matrix.

The proposed SCA-based approach has two main stages: modal matrix estimation and modal displacement estimation.

Then, the trace of R (1) is independent of the modal matrix U and equal to the sum of its nonnegative eigenvalues σ 1, …, σ N 1.

Performing this analysis enhanced the modal matrix estimation accuracy and reduced the computational cost while conducting clustering analysis.

Temporal decomposition is then carried out, and the modal matrix is constructed by applying a similarity transformation to the Jacobian, J = MΛM-1, and redefining the variables as modal variables, m = M-1x, so that Equation (2) becomes, (3) as described previously [ 23].

Software implementation to obtain the time scale and the modal matrix was accomplished using Mathematica 5.2.