Mathematical Modeling Cube: Static & Dynamic Energy Conservation

In summary, the conversation discusses how to mathematically model a system in the form of a cube, particularly a honeycomb sandwich panel used for housing electronic subsystems. The use of Cartesian coordinates and the need for more detailed information on the physical processes being modeled are mentioned. Different types of analysis, such as harmonic, transient, modal, and random vibration, may also need to be considered. Ultimately, the conversation highlights the need for a comprehensive literature review for examples of modeling cuboid structures for vibrational analysis.
  • #1
kashoo
41
0
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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  • #2
You need to provide more infromation. What are you modeling? What is the cube?
 
  • #3
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.
 
  • #4
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.
 
  • #5
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
 

1. What is mathematical modeling?

Mathematical modeling is the process of creating a mathematical representation of a real-world system or phenomenon. It involves using mathematical equations and algorithms to simulate and analyze the behavior of the system.

2. What is a cube in mathematical modeling?

In mathematical modeling, a cube refers to a physical or conceptual object that can be represented by a three-dimensional shape with six square faces. It is often used to model systems that have three dimensions, such as the dimensions of length, width, and height.

3. What is static energy conservation in a mathematical model?

Static energy conservation in a mathematical model refers to the principle that the total amount of energy in a system remains constant over time. This means that energy cannot be created or destroyed, but it can change forms within the system.

4. What is dynamic energy conservation in a mathematical model?

Dynamic energy conservation in a mathematical model refers to the principle that the rate of change of energy in a system is equal to the net flow of energy into or out of the system. This means that the energy in a system can change over time, but the total amount of energy remains constant.

5. How is energy conserved in a mathematical modeling cube?

In a mathematical modeling cube, energy conservation is represented by the conservation of mass and energy equations. These equations describe the conservation of both static and dynamic energy and are used to simulate and analyze the behavior of the cube over time.

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