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TIME DOMAIN ANALYSIS OF SHIP RESPONSES IN WAVES. PART 2: MEMORY EFFECT ON SHIP MANOEUVRING IN WAVES

Kimio Saito, Hideyuki Higashi

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Abstract

In the numerical simulation of ship manoeuvring, a set of ordinary differential equations with constant coefficients is traditionally used. However, when the transient external forces due to rudder motions and waves are concerned, this type of equation of motion is not precise in a strict sense. This paper clarifies the relationship between the two equations. Based on the strip theory, which is used to evaluate the seakeeping quality of a ship, the equation of motion described in the time domain with a convolution integral is derived. By analytical and numerical consideration, comparisons of the two types of equations of motion are made.

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What this paper is about

In the numerical simulation of ship manoeuvring, a set of ordinary differential equations with constant coefficients is traditionally used. However, when the transient external forces due to rudder motions and waves are concerned, this type of equation of motion is not precise in a strict sense. This paper clarifies the relationship between the two equations. Based on the strip theory, which is used to evaluate the seakeeping quality of a ship, the equation of motion described in the time domain with a convolution integral is derived. By analytical and numerical consideration, comparisons of the two types of equations of motion are made.

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Available abstract

In the numerical simulation of ship manoeuvring, a set of ordinary differential equations with constant coefficients is traditionally used. However, when the transient external forces due to rudder motions and waves are concerned, this type of equation of motion is not precise in a strict sense. This paper clarifies the relationship between the two equations. Based on the strip theory, which is used to evaluate the seakeeping quality of a ship, the equation of motion described in the time domain with a convolution integral is derived. By analytical and numerical consideration, comparisons of the two types of equations of motion are made.

Key concepts: Seakeeping, Motion (physics), Time domain, Response amplitude operator, Ship motions, Convolution (computer science), Mathematical analysis, Mathematics

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TIME DOMAIN ANALYSIS OF SHIP RESPONSES IN WAVES. PART 2: MEMORY EFFECT ON SHIP MANOEUVRING IN WAVES — Research Paper | ScholarLens