Table 1 Basic concept variables and their definitions.

From: Research on safety assessment methods based on tasks for aircraft takeoff pitch attitude

Symbol

Variable name

Definition

\(\:{t}_{vR1}\)

The 1st-second of lifting the nose wheel

The1st-second the nose wheel is lifted during the aircraft’s takeoff phase.

\(\:{t}_{vR2}\)

The 2nd-second of lifting the nose wheel

The 2nd-second the nose wheel is lifted during the aircraft’s takeoff phase.

\(\:{t}_{vR3}\)

The 3rd-second of lifting the nose wheel

The 3rd-second the nose wheel is lifted during the aircraft’s takeoff phase.

\(\:{t}_{vR}\)

The process of lifting the nose wheel

The process of lifting the nose wheel to the main wheel in an aircraft.

\(\:{t}_{vD}\)

The moment of the main wheel off the ground

Aircraft main wheel lift off time during takeoff phase.

\(\:R\left({t}_{vR1}\right)\)

The rate of lifting the nose wheel in the 1st-second

The aircraft pitch angle changing rate on the first second of the lifting process of nose wheels.

\(\:R\left({t}_{vR2}\right)\)

The rate of lifting the nose wheel in the 2nd-second

The aircraft pitch angle changing rate on the 2nd second of the lifting process of nose wheels.

\(\:R\left({t}_{vR3}\right)\)

The rate of lifting the nose wheel in the 3rd-second

The aircraft pitch angle changing rate on the third second of the lifting process of nose wheels.

\(\:R\left({t}_{vR}\right)\)

The rate of lifting the nose wheel

The aircraft pitch angle changing rate in the lifting process of nose wheels.

\(\:P\left({t}_{vD}\right)\)

Takeoff pitch angle

The angle between the x-axis of the aircraft-body coordinates frame and the horizontal plane.