Transcript Slide 1

CATs
COHERENT APPLICATION
WindTHREADS
Turbines
Supplemental Learning Module
EK 301 MECHANICS 1
Wind Turbines & Vectors
Don Wroblewski
Associate Professor, Mechanical Engineering
Associate Chair, Aerospace Engineering
Undergraduate Program
VECTORS: FORCE, POSITION & UNIT
VECTORS
GUY
WIRE TOWER
Force
vectors
TOAuOA
TOBuOB
TOCuOC
O
uOA
TODuOD
uOC
Unit vectors
uOB uOD
Position
vectors
uOA 
rOA
rOB
rOD

rOA
rOA
rOC
D
A
C
B
WIND TURBINE AERODYNAMIC FORCES
VECTOR ADDITION AND COMPONENTS
xA
x
y
Wind
DRAG
D
Dy
y
x
yA
Dx
Wind
Velocity
Total
Velocity
Vector
Lx
Ly
Velocity
due to
rotation
Lx + Dx is the net “thrust” force
Ly - Dy is the net “torque”
force that produces power
L
LIFT
BLADE CONING DUE TO THRUST FORCE
WIND TURBINE AERODYNAMIC FORCES
VECTOR MOMENTS
xA
DRAG
D
x
y
rOA
y
x
yA
FA
FA
Wind
O
L
LIFT
M O  rOA  FA
Moment of Force FA about point O
Mx  M O  i  rOA  FA  i
Moment of Force FA about x axis