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ROOT FINDING METHODS
THE LAPLACE TRANSFORM
6 other sections not shown
a>mt angle applied assumed mode frequency characteristic equation coefficients column four column six complex roots damping ratio dashpot derivative differential equations Eh Eh Eh I Eh electric circuit electric network equal example expanded factor final value theorem force four-mass frequency response function given by transform Hence Holzer tabulation impedance impulse response initial conditions inverse transform loop mass mechanical system method minor expansion missile motion multiplying nondimensional notation numerical values obtained original equation oscillation output partial fractions positive real pulse radians radians/sec recurring waveform resonant magnification result roots with positive rotation Section shown in Fig Similarly sine waves solution solve spring constant square wave step input subscript number Substituting Table third-order determinant torque torsional spring unit impulse unit step variable voltage wh-r yields zero