Wave Kinematics and Pressure Field of Third-Order Theory for Bichromatic Bi-Directional Waves in Water of Finite Depth

2014 ◽  
Vol 580-583 ◽  
pp. 2166-2169
Author(s):  
Hu Huang ◽  
Guo Liang Li
Keyword(s):  
Pressure Field ◽  
State Of The Art ◽  
Finite Depth ◽  
Order Theory ◽  
Offshore Structures ◽  
Structural Members ◽  
Third Order ◽  
Wave Kinematics ◽  
The Third ◽  
Directional Waves

Based on the third-order theory for bichromatic bi-directional waves in water of finite depth, a set of explicit formulas for the state-of-the art quantities of wave kinematics for horizontal and vertical particle displacements, velocities and accelerations, and wave pressure field is developed, and would be much more accurate and realistic in the design of harbor, coastal and offshore structures and their structural members.

scholarly journals The Coupling Coefficients of Radial Pulsation in Third Order

1993 ◽  
Vol 134 ◽  
pp. 349-349
Author(s):  
T. Ishida ◽  
R. Takano ◽  
F. Yamakawa ◽  
M. Takeuti
Keyword(s):  
Order Theory ◽  
Radial Pulsation ◽  
Coupling Coefficients ◽  
Third Order ◽  
The Third ◽  
Stellar Models

AbstractThe third order theory of coupling is discussed regarding the radial pulsation of stellar models.

Quantification of Predicted Wave Forces From Distant Elevation Measurements

2019 ◽  
Author(s):  
Spencer T. Hallowell ◽  
Sanjay R. Arwade ◽  
Hannah Johlas ◽  
Pedro Lomonaco ◽  
Andrew Myers
Keyword(s):  
Breaking Waves ◽  
Offshore Structures ◽  
Irregular Waves ◽  
Wave Forces ◽  
Structural Members ◽  
Prediction Equations ◽  
Linear Dispersion ◽  
Force Prediction ◽  
Wave Kinematics ◽  
Wave Measurements

Abstract The vast spatial scale of offshore structures causes wave loading to be correlated amongst nearby structural members. Certain engineering activities including health monitoring, maintenance, and preliminary design of offshore structures requires the prediction of wave forces on said structural members. The high cost and low availability of environmental wave measurements requires the reconstruction of wave kinematics and force profiles to accurately capture the forcing history on offshore structures. A method for predicting wave forces on a cylinder from nearby wave elevation measurements is proposed. The formulation utilizes the Fast Fourier Transform to calculate wave kinematics propagation in the frequency domain and applies the kinematics to the Morison equation for calculation of cylinder forces. The prediction equations are applied to three types of waves: regular periodic waves, random irregular waves, and solitary breaking waves, and the error in both elevation prediction and force prediction when compared to measured values is calculated. The force prediction equations were shown to perform best for small wave heights, with errors as low as 5% in the force predictions for small regular and irregular waves. The error in force prediction increases nonlinearly with the increase in wave height due to the deficiencies of the linear dispersion relationship used in the formulation.

Coding true arithmetic in the Medvedev and Muchnik degrees

2011 ◽  
Vol 76 (1) ◽  
pp. 267-288 ◽  
Author(s):  
Paul Shafer
Keyword(s):  
Order Theory ◽  
Second Order ◽  
Third Order ◽  
First Order ◽  
Closed Sets ◽  
The Third ◽  
First Order Theory ◽  
Medvedev Degrees

AbstractWe prove that the first-order theory of the Medvedev degrees, the first-order theory of the Muchnik degrees, and the third-order theory of true arithmetic are pairwise recursively isomorphic (obtained independently by Lewis, Nies, and Sorbi [7]). We then restrict our attention to the degrees of closed sets and prove that the following theories are pairwise recursively isomorphic: the first-order theory of the closed Medvedev degrees, the first-order theory of the compact Medvedev degrees, the first-order theory of the closed Muchnik degrees, the first-order theory of the compact Muchnik degrees, and the second-order theory of true arithmetic. Our coding methods also prove that neither the closed Medvedev degrees nor the compact Medvedev degrees are elementarily equivalent to either the closed Muchnik degrees or the compact Muchnik degrees.

Third-Order Hydrodynamic Loads on an Oscillating Vertical Cylinder in Water

1999 ◽  
Vol 121 (1) ◽  
pp. 16-21 ◽  
Author(s):  
M. Markiewicz ◽  
P. Łe¸tkowski ◽  
O. Mahrenholtz
Keyword(s):  
Harmonic Component ◽  
Vertical Cylinder ◽  
Offshore Structures ◽  
Third Order ◽  
Earthquake Excitation ◽  
Hydrodynamic Loads ◽  
Third Harmonic ◽  
The Third ◽  
Steep Waves ◽  
Order Components

The third-harmonic component of the third-order hydrodynamic loads on a vertical circular cylinder oscillating in water is calculated by a conventional perturbation method within the framework of a potential theory. Although the third-order forces are expressed in terms of the first, second, and third-order components of the velocity potential, the latter is not directly required for the calculation. It is replaced by a properly defined linearized radiation potential via Haskind-like theorem. The results of the study are applicable to the analysis of high-frequency resonances of deepwater offshore structures under earthquake excitation or under steep waves (ringing problem).

scholarly journals Parametric analysis of some tensegrity structures

2019 ◽  
Vol 262 ◽  
pp. 10003 ◽  
Author(s):  
Wojciech Gilewski ◽  
Joanna Kłosowska ◽  
Paulina Obara
Keyword(s):  
Parametric Analysis ◽  
Dynamic Properties ◽  
Order Theory ◽  
Singular Value ◽  
Third Order ◽  
Tensegrity Structures ◽  
The Third ◽  
Stress States ◽  
Parametric Analyses ◽  
Value Decomposition

The objective of the paper are tensegrity structures and a possibility to control their properties such as a stiffness and a natural frequency, by the level of self-stress. Basic tensegrity modules and towers and plates built of these modules are considered. In each example mechanisms and self-stress states are identified using the singular value decomposition of compatibility matrix method. Parametric analyses of the effect of the self-stress state on the static and dynamic properties of structures are carried out. Analyses are performed using the second order theory (in Mathematica environment) and the third order theory (in Sofistik program).

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