dynamics 9

1
MODE 1 1.0 0.919 0.764 0.547 0.286 9 JETRO G. SARAJENA STE 224- STRUCTURAL DYNAMICS -0.831 -1 -1 -0.831 -1 -0.831 -1.831 -1 -0.831 -1 -1 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 = θ θ θ θ θ 41 42 43 44 45 0 0 0 0 0 With same procedure in computing the First Mode we have, = θ 4 1.685 1.400. 0.522 -1.831 1.0 Fourth Mode, using λ =1.715, we have -1.862 -1 -1 -1.682 -1 -1.682 -2.682 -1 -1.682 -1 -1 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 = θ θ θ θ θ 51 52 53 54 55 0 0 0 0 0 Solve for the Fifth Mode: [k-ω²m]θ =0 5 With same procedure in computing the First Mode we have, = θ 5 1.910 -3.322 3.510 -2.682 1.0 Fifth Mode,

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Page 1: Dynamics 9

MODE 1

1.0

0.919

0.764

0.547

0.286

9

JETRO G. SARAJENASTE 224- STRUCTURAL DYNAMICS

-0.831 -1 -1 -0.831

-1-0.831

-1.831

-1-0.831 -1

-1-1-1

0 0 0 0 0

0 0 0 0 0 0 0

=

θθθθθ

4142434445

00000

With same procedure in computing the First Mode we have,

=θ4

1.685 1.400. 0.522-1.831 1.0

Fourth Mode,

using λ =1.715, we have-1.862 -1 -1 -1.682

-1-1.682

-2.682

-1-1.682 -1

-1-1-1

0 0 0 0 0

0 0 0 0 0 0 0

=

θθθθθ

5152535455

00000

Solve for the Fifth Mode:[k-ω²m]θ =05

With same procedure in computing the First Mode we have,

=θ5

1.910-3.322 3.510-2.682 1.0

Fifth Mode,