Numerical Integration Techniques for Dynamic Solutions - Engineering Assignment Help

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Assignment Task:

This assignment will address the following learning outcomes:
1 use and evaluate industry standard simulation methods to solve appropriate engineering problems
2 assess the need for relevant modelling systems
3 analyse how certain factors are affecting the accuracy of a simulation
4 use engineering software effectively and compare exact solutions with simulation generated solutions and evaluate the differences and characteristics
5 demonstrate effective research and report writing skills

Aim: 
The aim of this assignment is to use Numerical Integration techniques (Euler) within a spreadsheet (Excel) to produce simulations for 1 st and 2 nd order systems. You will then evaluate changes to the systems in response to different initial conditions. Graphical outputs from the system should help to describe how changes in initial conditions affect each system and what factors influence the accuracy of a simulation.

Task 1 – 1st order system
Using the handout on 1 st order systems and taking the spring damper as an example,
produce a spreadsheet to simulate this system. Use the following as a guide.
1 Create a column for time using an appropriate time step that can be altered.
2 Create your own initial conditions for your system for:

spring

exact solution

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