Improved approximations for the Rayleigh wave velocity in [-1, 0.5]

Pham Chi Vinh, Peter G. Malischewsky

Abstract


In the present paper we derive improved approximations for the Rayleigh wave velocity in the interval \(\nu  \in \) [−1, 0.5] using the method of least squares. In particular: (i) We create approximate polynomials of order 4, 5, 6 whose maximum percentage errors are 0.035 %, 0.015 %, 0.0083 %, respectively. (2i) Improved approximations in the form of the inverse of polynomials of order 3, 5 are also established. They are approximations with very high accuracy. (3i) By using the best approximate second-order polynomial of the cubic power in the space \(C\)[0.474572, 0.912622], we derive an approximation that is the best, so far, of the approximations obtained by approximating the secular equation.

Full Text:

PDF


DOI: https://doi.org/10.15625/0866-7136/30/4/5640 Display counter: Abstract : 29 views. PDF : 27 views.

Refbacks

  • There are currently no refbacks.


Copyright (c) 2008 Vietnam Academy of Science and Technology

 

                      

Editorial Office of Vietnam Journal of Mechanics

3rd Floor, A16 Building, 18B Hoang Quoc Viet Street, Cau Giay District, Hanoi, Vietnam

Tel: (+84) 24 3791 7103

Email: vjmech@vjs.ac.vn