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Introduction

Cams come in all shapes and sizes and are found in most branches of engineering. Indeed without them many of our everyday appliances would not work. Simple cams form the basis of rotary cam timers which are used to control some household appliances , car engine would not work without the cams and many industrial machine tools rely upon them. In truth cams are ubiquitous.

Types Of Cams

A {Cam} is a reciprocating, oscillating or rotating body which imparts reciprocating or oscillating motion to a second body, called the follower, with which it is in contact. ... more »

Introduction

The Theory of Machines is concerned with the Motion of parts of machines and the forces which act on those parts. In most cases these forces are not constant and their calculation demands that we know the velocities and accelerations which occur in the various components.

The concept of Instantaneous Centres of Velocity was covered in the section on Mechanisms. In this section the Analysis of Velocity and Acceleration are considered with particular reference to Cranks and Pistons. {Klien's Construction for Piston Acceleration} is introduced and a description of the Coriolis Component is given.

Analysis Of Velocity And Accelerations Components.

a) Velocity

In the ... more »

The correlation coefficient provides a normalized view of correlation based on covariance:

where and ranges from -1 (for negatively correlated variables) through zero (for uncorrelated variables) to +1 (for positively correlated variables). While if and are independent we have , the latter does not imply the former.

References:

PlanetMath, http:planetmath.org/encyclopedia/Covariance.html

Example 1:

#include <codecogs/stats/moments/correlation.h>
#include <iostream>
int main()
{
  int x[4] = {3 , 7 , 5 , 6 };
  int y[4] = {4 , 3 , 7 , 1 };
  double corr = Stats::Moments::correlation<int>(4, x , y);
  std::cout << "The correlation of x and y is: " << corr << std::endl;
  return 0;
}

Output:

The correlation of x and y is: -0.278132

Parameters:

data1

the actual population data given as the second array

Returns:

the correlation of the given set of data

Authors:

Anca Filibiu (August 2005)

... more »

The JONSWAP (Joint North Sea Wave Project) spectra is an empirical relationship that defines the distribution of energy with frequency within the ocean.

The JONSWAP spectrum is effectively a fetch-limited version of the Pierson-Moskowitz spectrum, except that the wave spectrum is never fully developed and may continue to develop due to non-linear wave-wave interactions for a very long time. Therefore in the JONSWAP spectrum, waves continues to grow with distance (or time) as specified by the α (alpha) term, and the peak in the spectrum is more pronounced, as specified by the γ (gamma) term. Hasselmann (1966) found the latter to be ... more »