Matrix-computer Methods in Engineering |
Contents
BASIC DEFINITIONS DETERMINANTS AND LINEAR ALGEBRAIC | 1 |
11n Homogeneous Equations in n Unknowns | 14 |
EIGENVALUES EIGENVECTORS AND QUADRATIC FORMS | 55 |
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a₁ algebra angular frequency applied augmented matrix B₁ C₁ C₂ calculated Chapter characteristic equation characteristic impedance characteristic polynomial characteristic value characteristic vector coefficients column matrix complex conjugates computation constant corresponding cosh D₁ degrees of freedom denote determinant diagonal discussed displacements eigenvalues eigenvector equation electromotive force elements equal equations of motion example exponential function expressed F₁ flexibility matrix four-terminal network Fourier transform G₁ impedance internal forces inverse dynamical inverse dynamical matrix k₁ Laplace transform linear loop M-šK matrix differential equation matrix exponential matrix method matrix of Equation modal columns modal matrix node normal coordinates notation obtain orthogonal pendulum premultiply problems procedure result S₁ scalar Section sinh solution solve square matrix stiffness matrix structure substitute symmetric symmetric matrix transmission matrix unit matrix V₁ vibration w₁ w₁t written X₁ Z₁ zero λι