Harmonic analysis is the dynamic analysis used to predict the steady-state dynamic response of the piping system subjected to sinusoidally varying loads. All kinds of externally applied loads like nodal, elemental, gravity, and thermal loads can be included as load input. Accordingly, load cases are required to prepare and included in the solution. Load components in each load case use the same factor and phase angle. Different load cases may have different factors and phase angles, but the frequency for all loads is the same. The points that will be covered in this article are:
Introduction
Reviewing the Static Model
Creating the Harmonic input
The Harmonic Analysis
Result Review
Acoustic vibration and resonance are caused by Positive displacement pumps
Introduction to Harmonic Analysis
The harmonic analysis considers the effect of a harmonic load being applied to the system. The load is usually applied as a sinusoidal function (Fig. 1), e.g. pressure pulsation from reciprocating equipment. Being of a cyclic nature, harmonic loading relates to the fatigue allowable of the design code and should be considered. Care should be taken when undertaking a harmonic analysis for the accuracy of input data. Information relating to existing field problems can be derived from the measurement of pressure pulsation, deflection, forces, etc.
Reviewing the Caesar II Static Model for Harmonic Analysis
Fig.1: Introduction to Harmonic Analysis
Creating harmonic Input for Analysis in Caesar II
Follow the steps shown in Fig. 2
Fig. 2: Steps for creating harmonic input
The effect of damping on the response
Fig. 3: Effect of Damping
The Frequency-phase Dialog
Fig. 4: The frequency phase dialog
Harmonic Analysis Results Review
Results-Displacements:
Fig. 5: Nodal Movements in Harmonic Analysis
Results-Loads:
Fig. 6: Loads in Harmonic Analysis
Results-Stress:
Fig.7: Stress Window of Harmonic Analysis in Caesar II
Fig. 8: Occasional Stress
Fig. 9: Fatigue Approach
Fig. 10: Updated Stress Results
Fig. 11: Caesar II Steps for adding Fatigue data
Fig. 12: Updated Caesar II output result with Fatigue Data
Author: This presentation is prepared by Mr. Deepak Sethia who is working in ImageGrafix Software FZCO, the Hexagon CAS Global Network Partner in the Middle East and Egypt. He has extensive experience in using Caesar II software and troubleshooting.
I am a Mechanical Engineer turned into a Piping Engineer. Currently, I work in a reputed MNC as a Senior Piping Stress Engineer. I am very much passionate about blogging and always tried to do unique things. This website is my first venture into the world of blogging with the aim of connecting with other piping engineers around the world.
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Good morning, excellent material, Fig. 2 was blurred if possible send to afreitas.eng@gmail.com
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Good morning, excellent material, Fig. 2 was blurred if possible send to afreitas.eng@gmail.com