Homework 1 – Strength of Materials – System That Cannot be in Static Equilibrium
by Consider a triangular-shaped rigid body shown in Fig. 1. below. The body is supported by a pin support at point A, and by a roller …
Introduction to the Concept of Stress – Normal Stress
In this lecture, we introduce the concept of stress and the concept of normal stress. A YouTube video accompanying this lecture is given below. Consider …
Review of the Methods of Statics
In this post, we briefly revise the basic principles of statics and we apply them to compute the reaction forces of a beam. We revise …
Introduction to Basic Matrix Operations in Python using Numpy Library: Define, Add, Multiply, Invert, Save and Load Matrices from Files
In this numerical linear algebra and Python tutorial, we explain how to define matrices and how to perform basic matrix operations in Python using the …
Introduction to Subspace System Identification with Python- System Identification Tutorial
Introduction In this post and tutorial, we provide an introduction to Subspace Identification (SI) methods and we develop codes that can be used to effectively …
Introduction to Model Reference Adaptive Control with MATLAB Simulations
In this post, we explain how to simulate a model reference adaptive controller in MATLAB. The motivation for creating this post comes from the fact …
Interpolation of Function Values in MATLAB
In this post, we explain how to interpolate function values in MATLAB. The goal is to generate function values at predefined coarse-spaced points and then …
Simulation of Ordinary Differential Equations (ODEs) with Time-varying Coefficients and Time-varying Inputs in MATLAB
In this post, we explain how to simulate Ordinary Differential Equations (ODEs) with time-varying coefficients and time-varying inputs in MATLAB. Consider an ODE, given by …
Application of Routh Stability Criterion to Select Parameters of Proportional Integral (PI) Controllers
One of the first problems that we need to solve when designing a control system is to determine allowable values of controller parameters such that …
10. Decomposition of Time-Series in Python: Trend and Seasonal (Periodic) Components
In this post, we explain how to decompose a time series into trend and seasonal (periodic) components. The decomposition step is necessary in order to …