This section updates an angle formula so that the virtual glider can now perform both backward and forward loops, as well as inverted flight. [sociallocker][/sociallocker] Longitudinal Aircraft Dynamics #11- 360 full coverage – loops by George Lungu – This section fixes an angle issue so that the virtual aircraft will now be able to perform both backward and forward loops. UpgradingContinue Reading

This section of the turorial finalizes the main dynamics calculations and implements the numerical method for approximating the glider trajectory. At this point, the model is already functional but with a crude interface. [sociallocker][/sociallocker] Longitudinal Aircraft Dynamics #10- the numerical method by George Lungu – This section deals worksheet implementation of the numerical setup for a dynamic modeling of the flight. TheContinue Reading

This tutorial finalizes the implementation of the forces and momenta acting on the plane. It also initiates some hand testing and validation of the overall dynamics of the plane. [sociallocker][/sociallocker] Longitudinal Aircraft Dynamics #9- finalizing the dynamics – preliminary validation by George Lungu – This section continues with the dynamics formulas governing our 2D plane. Worksheet lever calculation formulas: – CopyContinue Reading

This section continues the worksheet implementation of the dynamics formulas for aerodynamic forces and momenta. [sociallocker][/sociallocker] Longitudinal Aircraft Dynamics #8- worksheet implementation of the real dynamics by George Lungu – This section continues with the dynamics formulas governing our 2D plane. Worksheet implementation of the force calculation formulas: – We will calculate these forces in a new area of the worksheet.Continue Reading

This section continues the  worksheet implementation of the dynamics formulas. [sociallocker][/sociallocker] Longitudinal Aircraft Dynamics #7- worksheet implementation of the real dynamics by George Lungu – This section continues with the dynamics formulas governing our 2D plane and their worksheet implementation. Some Reynolds number corrections: – We introduced one single named cell for the Reynolds number (Re) when in fact thereContinue Reading

In this section, the parameters cl, cd and cm are scaled back to the force of lift, drag and the pitching moment of the aircraft. After that, the numerical  modeling scheme is described together with the macros behind it. At the end, the formulas for the angles of attack of the wing and the horizontal stabilizer are introduced. [sociallocker][/sociallocker] Longitudinal Aircraft Dynamics #6- worksheetContinue Reading

This section shows how to model heat transfer in a linear bar by dividing it in elementary sections in which the basic linear equations introduced in the previous tutorials can be used. Animated heat transfer modeling for the average Joe – part #3 by George Lungu – This is a new section of the beginner series of tutorials in heatContinue Reading

A Phase-Locked Loop is a type of electronic circuit. It generates an oscillation with the same frequency as a reference oscillation and a relatively constant phase difference  with respect to the same reference. The applications spectrum of such a circuit are extremely wide. Signal modulation, demodulation, detection and filtering, frequency conversion and synthesis are just a fraction of what this circuit can do.Continue Reading

This is the next in a series of projectile motion tutorials for creating 2D trajectory models using numerical analysis of projectile dynamics (including aerodynamic drag). The trajectory formulas were derived in the previous tutorial. This post describes the Excel implementation (spreadsheet formulas, VBA code, buttons and charts). [sociallocker][/sociallocker] Projectile Motion Tutorial #5 – a 2D projectile motion model using numerical analysis of projectile dynamics (including aerodynamic drag)Continue Reading

This tutorial derives the formulas of a projectile model taking into account the aerodynamic drag. A finite differences numerical method is used. Though fairly easy to apply and understand, this type of methods can solve much more complex problems than the high-school type approach shown in the previous tutorials. An Excel model will be implemented in the next section. Projectile MotionContinue Reading

Now that we have a simple animated projectile motion (previous tutorial) let’s try to add on the chart the three instantaneous speed vectors associated with the projectile. These speed vectors are: the horizontal speed, vertical speed and the total speed vector. The model works in all Excel versions but in 2007 it’s rather slow. [sociallocker][/sociallocker] Projectile Motion Tutorial #3 –Continue Reading

Hi Folks, As a kid was fascinated with high power rifles, sniper rifles, cannons and in general, fast projectiles.  I’ve been brainwashed with all sorts of urban legends about how far an AK 47 or a pistol can shoot or how thick a steel metal plate a bullet can penetrate at various distances. I’ve also watched some documentary about snipersContinue Reading