Mathematical Modeling Cube: Static & Dynamic Energy Conservation

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Discussion Overview

The discussion focuses on mathematical modeling of a cube-shaped system, specifically addressing energy conservation equations for both static and dynamic analyses. Participants explore various aspects of modeling, including the physical processes involved and the specific applications related to vibrational analysis of a hollow cube made from honeycomb sandwich panels.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested, Mathematical reasoning

Main Points Raised

  • One participant asks for clarification on what exactly is being modeled, indicating that more specific information is necessary for a valid response.
  • Another participant emphasizes the importance of defining the physical processes being modeled, noting that different processes require different equations, such as static pressure versus temperature distribution.
  • A later post specifies the modeling of a hollow cube made from honeycomb sandwich panels, intended for dynamic analyses including harmonic, transient, modal, and random vibrational analyses.
  • There is a suggestion that using the Cartesian coordinate system may be prudent for the modeling process.
  • Participants express the need for literature examples related to modeling cuboid structures for vibrational analysis.

Areas of Agreement / Disagreement

Participants generally agree on the necessity of providing detailed information for effective modeling but have not reached consensus on specific modeling approaches or equations. Multiple competing views on the requirements and processes for modeling remain unresolved.

Contextual Notes

Limitations include the lack of specific details about the physical processes involved and the mathematical steps required for the proposed analyses. The discussion does not resolve the complexities of modeling dynamic versus static systems.

Who May Find This Useful

Readers interested in mechanical modeling, vibrational analysis, and the application of mathematical equations to engineering problems may find this discussion relevant.

kashoo
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How can we Mathematicaly model(Mechanical) a system which is in the form of cube...like a box ...what are energy conservation equations set up for static and dynamic analysi.s...
 
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You need to provide more infromation. What are you modeling? What is the cube?
 
How big is big?

You can't ask a general, sweeping question like that and expect a valid response. Like Integral said, if you have more detailed info on what you are doing we can help.
 
kashoo said:
How can we Mathematicaly model(Mechanical) a system which is in the form of cube...like a box ...
It would seem prudent to use the Cartesian coordinate system.

And then one has to define the 'physical process(es)' being modeled. That will determine the equations to be used. For example, modeling static pressure requires a different set of equations than does temperature distribution at constant boundary conditions.

For dynamic systems, varying pressure or temperature, the equations become more complicated.

Modeling fluid and heat/energy transfer yet again requires more elaborate equations.
 
Actually we are going to model a cube which is made up of Honeycomb Sandwich Panel...We have to construct its Mathematical Model for Dynamic Analysis like Harmonic Analysis ,Transient Analysis,Modal Analysis & Random Vibtrtaional Analysis...The cube is Hollow which will be used as accomodation for different electronic Subsystems like a Satellite Structure...
I need to get a useful literature which have some examples of modeling a cuboid structure for vibrational analysis
 

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