Monday, August 18, 2014

Introduction to mathematical model

    • aerodynamic wing forces
      • lift from the wing
      • drag from the wing
      • induced drag from wing
      • factors that influence aero wing forces
        • apparent wind angle
        • area of the wing
        • aspect ratio of wing
        • camber of the wing
        • bending of the mast
        • mast thickness
        • batten thickness and shape
        • wing rake
        • wing side slop
        • boom angle to boat centerline
        • tip shape wing top
        • gap between boom and fuselage
    •  aerodynamic drag of boat components
      • fuselage, plank, springboard, skipper, runners, rigging
      • factors that influence aero drag of components
        • frontal area of component that sees the apparent wind
        • streamlining of component
    • runner friction
      • forward sliding friction
      • lateral resistance friction
        • excess resistance caused by
          • torque mismatch
          • steering runner actions initiated by skipper
          • ice surface not strong enough for given side pressure
      • factors that influence runner friction
        • weight of boat and skipper
        • lift from wing
        • coef. of friction of ice
        • snow cover
        • runner length
        • runner width
        • facet angle
        • tip sharpness
        • smoothness of runner tip
        • straightness of the runner tip grind
        • lack of hollows in runner tip grind
        • runner camber
        • lead in front profile
        • lead out rear profile
        • thermal conductivity of runner
        • air temperature
        • roughness of ice
        • looseness in steering system
        • wobble in chocks or pillow blocks
        • tightness of runners in chocks
        • misalignment of runners
        • runner plank crown
        • stiffness of runner plank
    • constraints in the model
      • hiking limit
        • maximum lift that the boat can tolerate
        • when this limit is exceeded the boat will hike up about the front runner and the leeward runner
        • factors influencing hiking limit
          • height of wing
          • plank length
          • fuselage length
          • springboard length
          • attachment position of plank to fuselage
          • side slop
          • rake
          • sail hoist
      • runner side force limit
        •  maximum lateral side force that the runners can tolerate
        • when this limit is exceeded the runner(s) will side sideways at right angles to line of boat travel 
        • factors influencing runner side force limit
          • weight on rear runners
          • weight on front runner
          • runner facet angle
          • runner tip sharpness
          • hardness of ice