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consider the viscoelastically damped system of figure the system differs from the viscously damped system by the
if the acceleration uumlt of the ground in example is a single sine pulse of amplitude ao and duration t1amp39 as shown
using two normal modes set up the equations of motion for the five-story building whose foundation stiffness in
the lateral and torsional oscillations of the system shown in figure will have equal natural frequencies for a specific
set up the matrix equation of motion for the 3-dof system of figure in terms of stiffness transform it to the standard
assume that a three-story building with rigid floor girders has rayleigh dampingif the modal dampings for the first and
evaluate the numerical coefficients for the equations of motion for the second and third modes of
using the modal matrix poline reduce the system of problem to one that is coupled only by damping and solve by the
determine the damping matrix for the system presented in figure and show that it is not proportionalthe response must
problem 1if in problem 2 masses and mass moment of inertia m1 j1 and m2amp39 j2 are attached to the corners so that
if the lower end of the frame of problem is rigidly fixed to the ground the rotation of the corners will differ
draw the flow diagram and develop the fortran program for the computation of the response of the system shown in
determine poline for a double pendulum with coordinates theta1 and theta2 show that poline decouples the equations
determine the modal matrix p and the weighted modal matrix poline for the system shown in figure and diagonalize the
determine the flexibility matrix for the spring-rn ass system of three dof shown in figure and write its equation of
determine the modal matrix p and the weighted modal matrix poline for the system shown in figure show that p or poline
for the system shown in figure write the equations of motion in matrix form and determine the normal modes from the
using the adjoint matrix determine the normal modes of the spring-mass system shown in figurethe response must be typed
verify each of the results given in figure by the area-moment method and
determine the stiffness against the force f for the frame of figure which is pinned at the top and bottomthe response
the rectangular frame of figure is fixed in the ground determine the stiffness matrix for the force system shownthe
compare the stiffness of the framed building with rigid floor beams versus that with flexible floor beams assume all
determine the flexibility matrix for the four-story building of figure and invert it to arrive at the stiffness matrix
determine the stiffness matrix for the system shown in figure and establish the flexibility matrix by its inversethe
determine the influence coefficients for the triple pendulum shown in figurethe response must be typed single spaced