Dynamic Piping Analysis in CAESAR Ⅱ배배배배배 배배배배배배배배 배배

Theory of Dynamic Analysis of Systems

• Dynamic Loads 배 배배

1. Load 배 배배배 배배 배배배 배배배배 .( ex, earthquake, fluid hammer, vibration, relief valve, etc.)

2. System 배 배배배배 Load 배 배배 배배배 배배배배 배배 Load 배 배배배배 .3. System 배 배배 (equilibrium) 배배배 배배배 .4. System 배 배 배배 배배 배배 F=ma 배 배배 배배배배 .5. System 배 reaction 배 배배배 loads 배배배 배배배 배배 .

• Dynamic Load TypesForce vs. Time 배 배배배배 배배배배 배배 Piping System 배 배배배배 Dynamic Load Type 배 배배 배배배배 배배배배배 .

- Random Load- Harmonic Load- Impulse Load

Theory of Dynamic Analysis of Systems

• Random Load Types배배배 배배 Dynamic Load Change 배 Random 배배 배배배배 Load Type

1. Wind : Wind 배 velocity 배 Piping system 배 Random Load 배 배배 .

2. Earthquake : 배배배 배배 Ground 배 Random motion 배 배배배 배배 .

Theory of Dynamic Analysis of Systems

• Harmonic Load Types배배배 배배 Dynamic Load Change 배 Sine Profile 배배배 배배배배 Load Type

F(t) = A + B sin (Ct+D) , A = Mean Force , B = Variation of Force , C = Angular Frequency , D = Phase Angle

1. Equipment Vibration : 배배배배배 배배 배배 Nozzle 배배 Harmonic Load 배배배 배배배 배배 Piping System 배 Dynamic Load 배 배배 .

2. Pulsation : 배배배배배 배배배 배배배 배배배 배배 배배 배배 배배배 . Unbalanced Pressure Load 배 Harmonic Load 배배배 배배 .

Theory of Dynamic Analysis of Systems

• Impulse Load Types

1. Relief Valve Reaction Force : 배배배 배배배 배배 Relief Valve 배 배배배배 Vent 배배배 Reaction Force 배 배배배배배 배배 Piping System 배 Impulse Load 배배배 배배 .

2. Fluid Hammer : Valve 배 Closing 배 Fluid Hammer 배 배배배배 배배 Piping System 배 Impulse Load 배배배 배배 .

Theory of Dynamic Analysis of Systems

• Single Degree of Freedom System

1. 배배 배배배배배배 배배 1 배배배배 배배

2. Fluid Hammer : Valve 배 Closing 배 Fluid Hammer 배 배배배배 배배 Piping System 배 Impulse Load 배배배 배배 .

M(t) +

Dynamic Load Factor Verification Example

• Modeling

1. Node 10 배배 20 DX = 2000mm2. Diameter 200A , Wall Thickness STD WT ( 8.18mm)3. Pipe Material A53 Gr.B4. Fluid Water5. Node 10 배 Anchor, Node 20 배 배배배 , Fy 배배배배 -100kg Node 20 배 배배 .

Dynamic Load Factor Verification Example

• Static Analysis and Results

1. Load Case 배배

2. Displacements Report

Dynamic Load Factor Verification Example

• Dynamic Input Proccessor1. Time History Definitions 2. Force Sets

3. Time History Load Cases

Dynamic Load Factor Verification Example

• Dynamic Input Proccessor

4. Control Parameters- Frequency Cutoff : Response Spectrum Generator 배 배배배배 TH1

Spectrum 배 Frequency Response Curve 배배배 배배 50Hz 배배 Maximum Response 배 배배배배 배배

- Time History Time Step : 1/ (Frequency Cutoff * 10) sec 배 배배 .- Load Duration : 배배배 Peak 배배 0.5 Sec 배배 배배배 배배배배 배배배 .- Damping Ratio : Piping System 배 배배 1 ~ 5% 배배배배 3% 배배 . 배배배배배

USNRC Regulatory Guide 1.61 배 ASME Code Case N-411 배 배배 .

Dynamic Load Factor Verification Example

• Dynamic Analysis and Results1. Dynamic Output

2. Damping Ratio 배 배배 배배배 배배

DampingRatio

Static Y Displacement

Max YDisplacement DLF

3% 0.437 0.8087 1.8502% 0.437 0.8194 1.8751% 0.437 0.8303 1.9000% 0.437 0.8416 1.926