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Numerical integration of non-polynomial functions

Submitted by Stephane Bordas on

Hello colleagues,

 Would anybody know good references on numerical integration of non-polynomial functions? It would be enough for me to obtain one-dimensional rules. Of course, it could have impact for XFEM applications, but for another, improved XFEM method that we are developing.

Note  that I am not talking about integrating singularities, but non-polynomial functions. Examples:

sqrt(x)

cos(x)

sin(x)

product of these.

Thanks for any help,

 

Stephane

Any open source code to generate carbon nanotube cap?

Submitted by Damodara Reddy on

Generation of open ends carbon nanotubes coordinates (atomic positions) is easy and the generation of cap for these carbon nanotubes is extremely difficult. Some of the half-fullerenes (C60, C240, C540…) fit as a cap for the armchair and zigzag nanotubes. NanotubeModeler  (http://www.jcrystal.com/products/wincnt/index.htm) software generates the carbon nanotubes with cap but they are limited to few armchair and zigzag configurations.

Teaching Mechnical Engineering in iMechanica is an Engineering topic or an Education one, or even a Management Strategy

Submitted by shengke zhi on

To Henry and All,

To Henry and All,Regarding to Henry's distinguish idea about Teaching Mechanics in iMechanica, I am wondering is it an Mechanical topic or an Education one, or even a Management Strategy? The same phenomenon does not only exist in Mechanics education but also in all engineering fields.   

Why we struggle Engineering teaching?

Introduction

Submitted by Henry Tan on

What is the purpose of the course?

Ensure students have a clear working understanding of the principles of engineering mechanics and an ability to apply them to simple engineering systems.

Brief description of the unit

• Scalar and vector quantities.

• Forces and Newton's laws of motions.

• Kinematics of a particle; co-ordinate systems.