sap200 v12 modal analysis examplesap2000 v12 – modal analysis example dr. hazim dwairi dr. hazim...
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The Hashemite University
Department of Civil Engineering
Dr. Hazim DwairiDr. Hazim Dwairi The Hashemite UniversityThe Hashemite University
SAP2000 V12 SAP2000 V12 –– Modal Modal Analysis ExampleAnalysis Example
Dr. Hazim DwairiDr. Hazim Dwairi
Dr. Hazim DwairiDr. Hazim Dwairi The Hashemite UniversityThe Hashemite University
Modal Analysis ExampleModal Analysis Example
•• The frame shown has very stiff beams, The frame shown has very stiff beams, which can be idealized as 2which can be idealized as 2--DOF. DOF. Determine the modal properties of the Determine the modal properties of the structure (i.e. natural frequencies and structure (i.e. natural frequencies and modemode--shapes) using SAP2000 softwareshapes) using SAP2000 software
3m
3m
m1
m2
k1 k1
k2 k2
m1 = 1 N.s2/m
m2 = 2 N.s2/m
k1 = 12EI/L3 = 25 N/m
k2 = 12EI/L3 = 50 N/m
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im D
wairi
Create a new modelCreate a new model
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Select Units
Select New Model
Select 2D FramesSelect 2D Frames
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Select 2D FrameDr. Haz
im D
wairi
Input Geometry DataInput Geometry Data
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Define MaterialDefine Material
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im D
wairi
Define Material Define Material
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Define Frame Section 1Define Frame Section 1
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im D
wairi
Add General SectionAdd General Section
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Input Moment of InertiaInput Moment of Inertia
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Moment of Inertia m4Dr. Haz
im D
wairi
Change Section Name & MaterialChange Section Name & Material
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Define Frame Section 2Define Frame Section 2
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Dr. Haz
im D
wairi
Define Link Section 1 Define Link Section 1
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Add New Link 1Add New Link 1
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Mass kN.s2/m
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im D
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Add Link 2Add Link 2
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Delete Beam ElementsDelete Beam Elements
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Delete Elements
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im D
wairi
Draw Link ElementsDraw Link Elements
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Draw Link 2 ElementDraw Link 2 Element
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LINK 1
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im D
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Select Top Story ColumnsSelect Top Story Columns
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Select Elements
Assign K1 Frame SectionAssign K1 Frame Section
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Dr. Haz
im D
wairi
Assign K2 Frame SectionAssign K2 Frame Section
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Assign Fixed SupportsAssign Fixed Supports
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Select JointsDr. Haz
im D
wairi
Assign SupportsAssign Supports’’ Degrees of Degrees of FreedomFreedom
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Assign Degrees of FreedomAssign Degrees of Freedom
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Dr. Haz
im D
wairi
Run SoftwareRun Software
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ModeMode--Shape 1Shape 1
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Dr. Haz
im D
wairi
ModeMode--shape 1shape 1
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ModeMode--shape 2shape 2
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Dr. Haz
im D
wairi
ModeMode--shape 2shape 2
Dr. Hazim DwairiDr. Hazim Dwairi The Hashemite UniversityThe Hashemite University
ModeMode--shape 2shape 2
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Dr. Haz
im D
wairi
Modal PropertiesModal Properties
•• Natural Periods and Mode ShapesNatural Periods and Mode Shapes
•• Normalized Mode ShapesNormalized Mode Shapes
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sTsT
n
n
62.026.1
2
1
==
⎭⎬⎫
⎩⎨⎧−
=2574.18
2574.182φ
⎭⎬⎫
⎩⎨⎧
=9099.128199.25
1φ
⎭⎬⎫
⎩⎨⎧−
=1
12φ
⎭⎬⎫
⎩⎨⎧
=5.0
11φ
Dr. Haz
im D
wairi