Understanding the Concept: Unchangeable Models

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The discussion centers on the concept of unchangeable models, particularly focusing on "lumped" models in various fields, such as heat transfer. A lumped model is defined as a mathematical representation with a finite number of degrees of freedom (DOF), which can range from simple dynamics models to complex finite element models. In contrast, continuous models possess an infinite number of DOF, often represented through analytical solutions of differential equations. The distinction between lumped and continuous models is crucial for understanding their applications in engineering and physics. Overall, the conversation highlights the importance of specificity when discussing different modeling approaches.
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Anyone can briefly tell me about this concept? Did it is a undeformable model?
 
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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.
 
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.
 

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