Understanding the Concept: Unchangeable Models

In summary, the conversation discusses the concept of lumped models and how they differ from continuous models. Lump models have a finite number of degrees of freedom, while continuous models have an infinite number. Examples of lumped models include finite difference grids, finite element models, and simple dynamic models. On the other hand, continuous models are analytical solutions of ordinary or partial differential equations.
  • #1
Kongys
8
0
Anyone can briefly tell me about this concept? Did it is a undeformable model?
 
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  • #2
You've got to be more specific. There are a lot of models that can be called "lumped". For example, in heat transfer there is a "lumped" model.
 
  • #3
A lumped model is just a mathematical model with a finite number of degrees of freedom (DOF). That could be a finite difference grid or a finite element model (possibly with millions of DOF) or something like a simple "rigid masses connected by massless springs" dynamics model with a small number of DOF (even as small as just 1 DOF).

A continuous model has an infinite number of DOF. The commonest type of continuous models are analytical (not numerical) solutions of ordinary or partial differential equations.
 

1. What is the meaning of "unchangeable models" in science?

"Unchangeable models" refer to scientific concepts or theories that have been extensively tested and have consistently produced accurate results, making them widely accepted and unlikely to be disproven or altered in the future.

2. How do scientists determine if a model is unchangeable?

Scientists determine the reliability and validity of a model by conducting experiments, collecting data, and subjecting their findings to peer review and replication. If the results consistently support the model, it is considered unchangeable.

3. Can unchangeable models be modified or updated?

Yes, unchangeable models can be modified or updated if new evidence or data arises that contradicts or challenges the existing model. However, any modifications must be supported by rigorous testing and be accepted by the scientific community.

4. How do unchangeable models contribute to scientific progress?

Unchangeable models provide a solid foundation for scientific understanding and can serve as a starting point for further research and discovery. They also help scientists make accurate predictions and develop new technologies.

5. Can unchangeable models ever be proven wrong?

While unchangeable models have been extensively tested and accepted by the scientific community, it is always possible for new evidence or data to emerge that disproves or modifies the existing model. However, this process is a normal part of the scientific method and contributes to the advancement of knowledge.

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