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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 MO rOA FA Moment of Force FA about point O Mx MO i rOA FA i Moment of Force FA about x axis
