Finite Element Analysis

📣 This article is part of a series on Simulation and Modelling with tutorials, inspiring cases, and technical posts showcasing the impact of Simulation and Modeling in the modern world. ✨ This article is a combination of inspirational cases that explains a toy problem that can motivate readers to think…

Here is a Python code snippet that demonstrates a simple function for calculating the moment of inertia of a rectangular beam: def moment_of_inertia(width, height, thickness): """Calculate the moment of inertia of a rectangular beam. Args: width (float): The width of the beam, in…

With the development of simulation technology, engineers and scientists are more and more interested in damage, fracture, failure, destruction, and other phenomena on top of conventional analysis. For example, in shock and dynamics, the ideal failure model can predict the elements that should be deleted or propagate cracks, and show…

Have you ever wondered how a bar under some loading is analyzed with computers? How the computational analysis depends on the actual physics of the problem or the mathematics behind the problem? How and why is a continuum system converted to a discrete system before solving the problem? Browse through…

In general, we can decompose errors in FEA — finite element analysis — in three main groups: Modeling errors due to simplifications (“We try to model the real world yet are not able to do it 100%.”) Discretization errors that arise from the creation of the mesh Numerical errors of…

The Physics Based Deep Learning (PBDL) has been emerging since 2019 in the engineering domain for various reasons. Is the PBDL so superior that it replaces the traditional decade old numerical methods? Let us dig deeper into it. Numerical Methods (NM), such as Finite Element Analysis which analyses the structural…

Computer Simulations and Their Evolution Computer simulation is the use of a computer, supercomputer to simulate a physical object in science, engineering, medicine and other spheres of human activity. …

We’ve heard so often, that a specific programming language is not suitable for scientific or mathematical programming, because of it is not a high speed language. They say, some languages like C++ or FORTRAN are suited for FEM programming, because they are low(er)-level and high(er)-speed languages. …

This is a continuation of our parametric composite wing tutorial. This time, we add a dynamic aeroelastic stability analysis to our code, so that we can calculate critical flutter and divergence flight velocities. …