Official websites use .gov
A
.gov website belongs to an official
government organization in the United States.
Secure .gov websites use HTTPS
A lock (
) or https:// means you've safely
connected to the .gov website. Share sensitive
information only on official, secure websites.
Boundary Conditions Used for Needle Deflection Estimation Based on Beam Theory
| Assumption | Boundary Conditionsa |
|---|---|
| The deflection at the base is zero. | Dxy(0) = Dyz(0) = 0 |
| The slope at the base is zero. | θxy(0) = θyz(0) = 0 |
| The curvature at the tip is zero. | gxy(L) = gyz(L) = 0 |
Dxy(y) and Dxy(y) are the deflection functions, θxy(y) and θxy(y) are the slope functions, and gxy(y) and gxy(y) are the curvature functions, in x–y and y–z planes, respectively. L is the length of the needle.
