文档介绍：理论力学 Theoretical Mechanics
运动学第七章点的合成运动
力学教研室
Composite Motion of a Point PART D Coriolis Acceleration
Coriolis Acceleration
Deduction
Deduction 1
If the dynamic reference frame rotates, then the absolute acceleration can not use the equation:
The following sample show the result:
Coriolis Acceleration
Deduction
Deduction 1
A round plate rotates with angular velocity w, Moving point M rotates with velocity vr relative to the round plate, analyze the accelerations
Chose M as MP, Plate as DF
Coriolis Acceleration
Deduction
Deduction 1
If we use the equation of translating posite acceleration,
Not equals the result above.
The rest one
Accessory acceleration
Coriolis Acceleration
Deduction
We use symbol “aC” to denote the accessory acceleration:
科氏加速度
Equation of Accelerations of Rotational convected motion:
Coriolis Acceleration
Project to curvilinear coordinate system:
The Full Deduction of the equation above is omitted here, read Chinese textbook page 157~159
Coriolis Acceleration
Vector:
Coriolis Acceleration
Scalar:
Coriolis Acceleration
Conditions of ac=0
Coriolis Acceleration
Coriolis Acceleration
Lever OA rotates with constant angular velocity w0, the dimensions are shown on the figure left, compute:
wO1D, aO1D, aCE when OA is at horizontal position
Sample Problem 1
GO!
Coriolis Acceleration
[Solution]
Sample Problem 1
1. Compute wO1D
Chose Point A—MP Chose O1D—DF
Diagram of Velocity:
Coriolis Acceleration
[Solution]
Sample Problem 1
2. Compute aO1D
Diagram of Acceleration: