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20 PRINT analysis approximate bytes calculation cantilever Chapter complex number CONSISTENT UNITS damping ratio DATA LINE deﬁned deﬂection degrees of freedom determined diagonal difﬁculty eigenvalue eigenvector energy engineering equations of motion Example 6.1 ﬁnd ﬁnding ﬁrst ﬂexibility ﬂuid FORCE AMPLITUDE forced motion forcing function Free Body Diagram frequency equation Further reading given gives GOTO INPUT MASS instruction integration iteration method JRUN line number machine code mass ratio MASS VALUES mode of vibration mode shapes modelled natural frequency oscillation polar response diagrams polynomial principal coordinates PRINT INPUT PRINT PRINT PRINT problem Program notes Quadratic equations rad/s Rayleigh’s method rev/min REVOLUTIONS PER MINUTE secant method Section shown in Figure simple system solution solve speciﬁc STEP LENGTH STIFFNESS VALUES STOP JRUN subroutine system matrix theory Transient forcing undamped 2-DOF system uniform beam variable velocity vibration absorber Write a program zero