Hi guys, here is the second part of a tutorial describing the matematical equations used in modeling a three-pendulum harmonograph (automatic drawing machine). It pertains to the second version of the model. This section describes the kinematic equations involved in the articulated linkage mechanism on the top of the table, the custom spreadsheet functions used in the model and some overall… Read More... "Modeling a Three-Pendulum Harmonograph – tutorial: part #2"

This section is dedicated to modeling mechanical systems in Excel 2003 standard.

## Modeling a Three-Pendulum Harmonograph – tutorial: part #1

Hi guys, here is the first part of a tutorial describing the mathematical equations used in modeling a three-pendulum harmonograph (automatic drawing machine). It pertains to the second version of the model. This section refers only to the kinematic equations for the movement of three pendulums. A second section will be published later and it will describe the kinematic equations involved in… Read More... "Modeling a Three-Pendulum Harmonograph – tutorial: part #1"

## Three-Pendulum Harmonograph #2 – an improved version

Hi! Here is an improved (faster and cleaner) version of the harmonograph. The worksheet has three different areas, the physical machine (a photo of the machine build out of wood by Karl Sims), the virtual machine (which is a 2D chart with a top view of a model showing the three pendulum ends, the drawing table, and the linkage mechanism which connects pendulum #1,… Read More... "Three-Pendulum Harmonograph #2 – an improved version"

## Three-Pendulum Harmonograph (#1)- an automatic drawing machine

Ladies and Gentlemen, you will like this. Here is a harmonograph in MS Excel 2003 which models a real one build by Karl Sims. Watch the video first to know what to expect. I could have built it from the bare drawing equations but that would have been too easy and no fun at all so I tried to model the… Read More... "Three-Pendulum Harmonograph (#1)- an automatic drawing machine"

## A basic 3-body Planetary System

Hi folks, as a continuation to the previous tutorial here is a 3-body planetary model where the solution to the equations is contained in a static form, as a lookup table (I previously called it a “pure spreadsheet solution”). The model is static in the sense that after any parameter is changed, the solution data remains unchanged in a table until a new parameter is updated by the… Read More... "A basic 3-body Planetary System"

## How to Model a Basic 2-body Planetary System

Here is a tutorial explaining how to model a two dimensional 2-body planetary system in Excel. It uses the Euler method of integration. The tutorial starts with explaining the simple Newtonian laws acting on the two planets. There are essentially just two forces acting on each body at any time: the inertia and the gravitational attraction. During each small time step,… Read More... "How to Model a Basic 2-body Planetary System"

## Introduction to Numerical Methods – Basic Filters #2

This post shows the steps for building a first model of a single pole RC high pass filter (HPF) in Excel based on numerical solution using the finite difference method. It is quite elementary to understand, try to go through the proof regardless of your background. [sociallocker][/sociallocker] Basic Filters – Part 2 (1-Pole High Pass Filter) Numerical Solutions to Differential Equations… Read More... "Introduction to Numerical Methods – Basic Filters #2"

## Introduction to Numerical Methods – Basic Filters #1

This post shows the steps for building a first model of a single pole RC low pass filter (LPF) in Excel based on numerical solution using the finite difference method. It is quite easy to understand, try to go through the proof regardless of your background. [sociallocker][/sociallocker] Basic Filters – Part 1 (1-Pole Low Pass Filter) – Numerical Solutions to Differential Equations (Finite Difference… Read More... "Introduction to Numerical Methods – Basic Filters #1"

## 3-Body Planetary System with Options

Here is a 3-body system with 3D graphics. This model works at about 30 frames/second in Excel 2003 on a modern PC. In Excel 2007 it will run 10-15 times slower. I know 2010 is a lot faster than 2007. I need to add few more features. I am also thinking of adding a 3D gravitational surface map later (like… Read More... "3-Body Planetary System with Options"

## Triple Spring-Mass-Damper System

This is the model of a triple spring-mass-damper system in excel. [sociallocker][/sociallocker] Read More... "Triple Spring-Mass-Damper System"

## Double Spring-Mass-Damper System

This is an animated model of a double spring-mass-damper system in excel. [sociallocker][/sociallocker] Read More... "Double Spring-Mass-Damper System"

## Simple Spring-Mass-Damper System

This is the model of a simple spring-mass-damper system in excel. [sociallocker][/sociallocker] Read More... "Simple Spring-Mass-Damper System"

## Basic Planetary Simulator

This is an Excel workbook containing a dynamic model of a basic binary planetary system. [sociallocker][/sociallocker] Read More... "Basic Planetary Simulator"

## Fourier Transform

This is an Excel workbook calculating the Fourier transform of a signal. [sociallocker][/sociallocker] Read More... "Fourier Transform"