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TRANSFERMATRIX METHOD BASED ON ORDINARY
EXTENSION OF THE TRANSFERMATRIX METHOD
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a-f plot Acceleration vector Acceleration—Frequency Plot application of equations based on ordinary body-fixed system center of mass coalescence coordinate system critical load damping defined by equation DEFINITION OF SYMBOLS Dynamic Criterion dynamic instabilities eigenvalue problem Equal Equidistant Mass equation 52 equations 28 Equidistant Mass Points external forces acting Figure 12b FIGURE lib Five Mass System gf SOO Hence inertia forces Longitudinal force lumped-mass system mass and stiffness MASS SYSTEM SHOWN modulus of elasticity Natural frequencies nonconservative systems nontrivial equilibrium position ordinary and Timoshenko Rotation angle Saturn V Three-Stage SECTION shear deformation Shear modulus shown by Figure side of mass smallest load STATIC EULER'S STIFF BEAM CARRYING stiffness data stiffness matrix system of coordinates TAIL-HEAVY AND TAIL-STIFF third equation THREE FREQUENCIES Three-Stage Launch Vehicle three-stage vehicle thrust vector Timoshenko beam Timoshenko's beam theory UNIFORMLY STIFF BEAM vehicle masses velocity vector vibration analysis x-axis x-Coordinate yields Young's modulus