Modal Analysis. A Simple Six Storied Structure. ก ก Space Building6.std. ก Meter Metric Ton ก Next > ก Open Structure Wizard ก Finish

Transcription

1 5 Modal Analysis A Simple Six Storied Structure ก ก ก ก ก ก Space Building6.std ก Meter Metric Ton ก Next > ก Open Structure Wizard ก Finish STAAD.Pro : Modal Analysis : A Simple Six Storied Structure 5-1

2 StWizard ก Frame Models ก Bay Frame ก Apply ก File Merge Model with STAAD.Pro Model General Property ก : Rectangle YD = 0.30 m, ZD = 0.30 m : Rectangle YD = 0.40 m, ZD = 0.30 m : Thickness = 0.10 m ก : Material = CONCRETE Properties Whole Structure ก Define ก Rectangle ก Add Close ก STAAD.Pro : Modal Analysis : A Simple Six Storied Structure 5-2

3 Assign ก ก ก ก ก ก Ctrl ก ก ก ก 3D Rendering ก STAAD.Pro : Modal Analysis : A Simple Six Storied Structure 5-3

4 ก Add 4-Noded Plates ก ก ก Properties ก Thickness ก ก Plate/Surface Thickness ก 0.1 m ก Add Close ก Plate Cursor ก Translation Repeat ก STAAD.Pro : Modal Analysis : A Simple Six Storied Structure 5-4

5 ก 3D Rendering ก ก FIXED : Support FIXED ก ก ก STAAD.Pro : Modal Analysis : A Simple Six Storied Structure 5-5

6 MODAL CALCULATION ก STAAD ก Eigen Extraction Method ก ก ก ก [M] ก [K] ก ก ก STAAD ก ก ก ก ก ก MODAL CALCULATION REQUESTED : 1) ก STAAD ก ก ก ก g 2) PLANE ก X Y SPACE X, Y Z SPACE X, Y Z General Load Load 1 : FREQUENCY CALCULATION ก Selfweight ก SELFWEIGHT = X ก = 1 SELFWEIGHT = Y ก = 1 SELFWEIGHT = Z ก = 1 ก ก Frequency Modal Calculation ก Add Close ก ก : LOAD 1 LOADTYPE None TITLE FREQUENCY CALCULATION SELFWEIGHT X 1 SELFWEIGHT Y 1 SELFWEIGHT Z 1 MODAL CALCULATION REQUESTED STAAD.Pro : Modal Analysis : A Simple Six Storied Structure 5-6

7 Analysis/Print ก Print Option ก ก Add ก Analyze Run Analysis MODAL FREQUENCY ก (Output file) CALCULATED FREQUENCIES FOR LOAD CASE 1 MODE FREQUENCY(CYCLES/SEC) PERIOD(SEC) ACCURACY E E E E E E-07 The following Frequencies are estimates that were calculated. These are for information only and will not be used. Remaining values are either above the cut off mode/freq values or are of low accuracy. To use these frequencies, rerun with a higher cutoff mode (or mode + freq) value E E E E E-05 CUT OFF MODE SHAPE ก ก ก ก ก ก ก ก ก กก ก ก ก STAAD 6 ก ก CUT OFF MODE SHAPE 6 ก STAAD ก ( ) ก 11 ก Commands Miscellaneous Cut Off Mode Shape 11 Run Analysis ก STAAD.Pro : Modal Analysis : A Simple Six Storied Structure 5-7

8 MODE SHAPE Postprocessing ก Dynamics ก ก ก Animation ก Extra Frames FPS STAAD.Pro : Modal Analysis : A Simple Six Storied Structure 5-8

9 ก Dynamics Modes ก Shift + N Mode Shapes STAAD.Pro : Modal Analysis : A Simple Six Storied Structure 5-9

10 MASS PARTICIPATION FACTORS ก ก MASS PARTICIPATION FACTORS IN PERCENT MODE X Y Z SUMM-X SUMM-Y SUMM-Z ก ก ก ก ก SUMM-X, SUMM-Y SUMM-Z ก ก ก ก ก ก X ก ก X 2, 5, 8 11 Mode Shapes 2, 5, 8 11 ก 1, 3, 5, 7, 9, Mode: Freq.(Hz.) Node: STAAD.Pro : Modal Analysis : A Simple Six Storied Structure 5-10

11 Mode Shapes ก Dynamics Modes ก Mode 2, 5, Mode 2 : Frequency = Hz. Period = sec. Mode Shape = Mode 5 : Frequency = 4505 Hz. Period = sec. Mode Shape = STAAD.Pro : Modal Analysis : A Simple Six Storied Structure 5-11

12 Mode 8 : Frequency = Hz. Period = sec. Mode Shape = Mode 11 : Frequency = Hz. Period = sec. Mode Shape = Mass Participation Factor k ก 2 n W φ M, M M i ik m i= 1 k = n participating = k 2 k= 1 Wi ( φik) i= 1 n ( = ) m ( = 4 2, 5, 8, 11) STAAD.Pro : Modal Analysis : A Simple Six Storied Structure 5-12

13 φ ik Mode Shape i k W i ก i ก ก 0 ( ) : ก = : ก = = ก = ( ) = ก = = ก = : ก = = ก = ( ) = ก = = ก = Level W i (ton) ก Spread Sheet Wφ Wφ : Wφ 2 : Σ Σ STAAD.Pro : Modal Analysis : A Simple Six Storied Structure 5-13

14 ก Mass Participation Mode M k (ton) Participating Mass = = ก Total Mass = = Mass Participation = / = % ก STAAD.Pro : MASS PARTICIPATION FACTORS IN PERCENT MODE X Y Z SUMM-X SUMM-Y SUMM-Z Column SUMM-X % ก ก % Mode Participation ก ก P k = n i= 1 n i= 1 W φ W i i ik ( φ ) ik 2 ก Mode Participation Mode P k (ton) ก ก ก Mode Participation STAAD.Pro : Modal Analysis : A Simple Six Storied Structure 5-14

15 Displacement Mode 11 Mode 8 Mode 5 Mode 2 = STAAD.Pro : Modal Analysis : A Simple Six Storied Structure 5-15