107_add_Added Masses of Ship Structures.pdf - 96 3 Added Masses of Three-Dimensional Bodies in Infinite Fluid L2 L 26 = 1 = 220(x)x dx 2T L1(3.6 L2 L 35

107_add_Added Masses of Ship Structures.pdf - 96 3 Added...

This preview shows page 1 - 2 out of 2 pages.

96 3 Added Masses of Three-Dimensional Bodies in Infinite Fluid λ 26 = μ 1 λ = L 2 T L 2 L 1 λ 220 (x)x dx ; (3.6) λ 35 = − μ 1 λ = L B L 2 L 1 λ 330 (x)x dx ; (3.7) λ 55 = μ 1 λ = L B L 2 L 1 λ 330 (x)x 2 dx ; (3.8) λ 66 = μ 1 λ = L 2 T L 2 L 1 λ 220 (x)x 2 dx. (3.9) In the formulas ( 3.1 )–( 3.9 ) the integration is performed between the endpoints of the body whose x -coordinates equal L 1 and L 2 ; μ(λ) and μ 1 (λ) are corrections related to fluid motion along the x -axis; these corrections are different since the motion of fluid along the x -axis is different for cases of linear motion of the body and its rotation. Notice the different sign in the formulas ( 3.6 ) and ( 3.7 ). There is a subtlety related to the choice of correct sign while computing the added masses having the dimension of static moment by the method of plane sections. Consider for example the added mass λ 35 of the body M which is symmetric under the x 1 Oy 1 plane in the coordinate system x 1 y 1 z 1 (Fig. 3.14 ). For the body M (as well as for any other
Image of page 1
Image of page 2

Want to read both pages?

You've reached the end of your free preview.

Want to read both pages?

  • Fall '09
  • Geometry, Coordinate system, Polar coordinate system, Coordinate systems

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern

Ask Expert Tutors You can ask 0 bonus questions You can ask 0 questions (0 expire soon) You can ask 0 questions (will expire )
Answers in as fast as 15 minutes