D = distance along the wave [e.g., through points 1 to 5 in 

 figure 1(a)] 



The following relations are given by mathematical approximations: 



sin a ^ Ay/AS 



cos a 'X^hr.l LS 



(2a) 

 (2b) 



where AS, Ax, and Ay are the distance between computed points along the 

 meander, the x component of AS, and the y component of AS, respectively. 



.50 .75 1.00 



Distance Along Wave (s/d) 



(b) ANGLE OF DEFLECTION ALONG SINE-GENERATED 

 CURVE — POSITIVE TO LEFT, NEGATIVE TO RIGHT 



50 



Figure 1. A Sine-Generated Curve 



A sine-generated curve can be produced as a series of points by 

 solving equations (1) and (2). Given the maximum angle of deflection 

 (p), the distance increment between points (AS), and the distance along 

 one wave (D) , and assuming that at the starting point Xq = yg = S = 0, 

 the direction (a) of the curve can be determined from equation (1). Then 

 equation (2) will give Ax and Ay, and the new point becomes Xj = Xq + Ax 

 and y^ = yp + Ay. Thus, by iteration, a succession of points along the 

 curve is determined. 



-2- 



