Based on the shell equilibrium equations and by applying the ne-wly developed weighted residual finite element method commonly usedfor ultimate analysis of intersecting shell system,a series of calculationson ultimate bearing capacity of reinforced underwater shell structureswith openings was made.
Palticular soluhons are given by the novel method that five equilibrium equations have been reduced to a single10th culer partial defferential equation.
The stress calculation of circular cylindrical double shell system with stringers is studied. The hypothesis of constructively antisotropic shell is made, regarding inner and outside circular cylindrical shell as beams supported on elastic foundation. The equilibrium equations of double shell and connected plate are established.
Thereafter the solutions of the equilibrium equations using iterative method by Kyriakides and Babcock and their conclusions are discussed, especially the experimental and theoretical work by Skyriakides are emphasized.
Discusses the independence of equilibrium equations of space force system containing more than three moment equations,and derives a "Discriminant Matrix of Independence" consisting of basic parameters of six moment and projection axes, on which the simultaneous equations are established.
The displacement functions of the problem are assumed in the form as given below: (U, V, Φx,Φy, W) Substitution (U, V, Φx. Φy, W) into a group of equilibrium equations leads to the solutions of real series form. The relationship between tLhe coefficients(A, B, C, D, E ) isachieved by subshtuting (U, V, Φx. Φy, W) of real series form into four of eqUilibrium eqUation groups.
The effects of orthotropicity, L/R ratio and h/R ratio on the divergence load are discussed in detail. Love-Timoshenko shell theory and Donnell shell theory are also used to calculate the same example. The differences of equilibrium equations, expressions of forces and moments of these 3 theories are given in tables.
This paper presents a matrix method for numerically solving ship equilibrium equations and the inverse problem, i.e.,the determination of coordinates of the centre of gravity of a ship by means of the so-called inclining test.
On the basis of above mentioned, this paper points out several systems of six moment and projection axes, which can ensure independence for the equilibrium equations ,yet another systems of six axes can make the e-quations dependent,so the former can be selected to use and the latter must be avoided when solve problems.
Simplifying the air float structure as a single freedom rigid body and spring system, the force and moment equilibrium equations are established. Then the natural periods of heaving and rolling are solved and some kinetic properties are discussed.
The volume integrals are integrated numerically using Gauss quadrature, and the resulting nonlinear equilibrium equations are solved by Newton-Raphson incremental-iterative procedures.
This method uses the free torsional theory and the principle of virtual work to build governing equilibrium equations involving unknown shear flows and twisting rate.
There have been obtained system of equilibrium equations and recurrence relations for its coefficients which enable us to formulate the algorithm to build the system.
The level populations were determined by numerically solving the equation of recombination kinetics together with the statistical equilibrium equations for a 60-level model hydrogen atom.
This paper presents a method for computing the floating state of a ship and its initial stability in the large trim condition. Using this method the calculation results obtained will be more accurate than those obtained by methods ever used so far and more suitable to program for digital computers. In the first part of this paper, a set of equilibrium equations in the general form are established for the ship in any floating state. As it is known to all, they are nonlinear equations w...
A method for predicting foilborne performance of hydrofoil craft in calm sea is presented in this paper. Based on the respective experimental results of the fore and the aft foils, the characteristics of the interference of the fore foil on the aft foil, the geometrical conditions and the equilibrium equations of the craft, the foilborne performance parameters of the craft including trim, submergence depth of each foil, resistance, thrust, etc. can be calculated within entire foilborne speed ran...
This paper present an iteration method, especially the matrix method, for solving a set of ship equilibrium equations by linearizing the non-linear problem. Besides, it illustrates two expressions of floating state diagram and corresponding computation method in order to rapidly and precisely determine floating state of ships under different loading conditions.The set of ship equilibrium equations is nonlinear and implicit. By using Vlasov's parameters, the problem in longitudinal pl...