Vessel Motion & Acceleration Calculator

DNVGL-RU-SHIP Pt.3 Ch.4, Sec.3 (July 2024)

Developed by Hrithin

Vessel Particulars

Motions & General

Accelerations

Dimensions & Drafts

Length, LBP (m)

Breadth, B (m)

Depth, D (m)

Summer Draft, T (m)

Loading Draft, TLC (m)

Scantling Draft, TSC (m)

Operational Parameters

Service Speed, V (kn)

Block Coefficient, CB

Metacentric Height, GM (m)

Service Area

Bilge Keel

Point of Interest

x (from AP) (m)

y (from CL) (m)

z (from BL) (m)

Summary Results

Key Motion Parameters

Roll Period (Tθ): 9.77 s

Roll Angle (θ): 48.05 deg

Pitch Angle (φ): 20.00 deg

Accel Parameter (a0): 0.77 m/s²

Envelope Accelerations

Longitudinal (ax-env): 1.70 m/s²

Transverse (ay-env): 7.51 m/s²

Vertical (az-env): 6.51 m/s²

Coordinate System Reference

General & Motion Parameters

Parameter	Symbol	Value	Unit
Acceleration parameter	a0	0.769	m/s²
Vertical rotation centre	R	3.05	m
Roll radius of gyration	kr	7.02	m
Metacentric height	GM	2.75	m

Roll Motion

Parameter	Symbol	Value	Unit
Roll Period	Tθ	9.77	s
Roll Angle	θ	48.05	deg

Pitch Motion

Parameter	Symbol	Value	Unit
Pitch Period	Tφ	7.35	s
Pitch Angle	φ	20.00	deg

Ship Accelerations (CoG/Axes)

Parameter	Symbol	Value	Unit
Surge acceleration	asurge	2.50	m/s²
Sway acceleration	asway	3.37	m/s²
Heave acceleration	aheave	5.01	m/s²
Roll acceleration	aroll	0.35	rad/s²
Pitch acceleration	apitch	0.20	rad/s²

Envelope Accelerations at Point (x,y,z)

Longitudinal (x)

Pitch component (apitch-x): 0.30 m/s²

Envelope (ax-env): 1.70 m/s²

Transverse (y)

Roll component (aroll-y): 0.52 m/s²

Envelope (ay-env): 7.51 m/s²

Vertical (z)

Pitch component (apitch-z): 4.33 m/s²

Roll component (aroll-z): 0.00 m/s²

Envelope (az-env): 6.51 m/s²