The expressions calculating the concentration distribution of Fe complexes in the coagulation process of iron-based water clarifying agents are deduced based on the dissociation equilibrium equations, and the final calculating results are presented at the initial ferric concentration of 10~-3 mol/L, 10~-4 mol/L, 10~-5mol/L and more than 1.5 mol/L respectively.
Based on the method of Harris,the method of this paper takes the elasto-hydrodynamics lubrication theory into account,modifies the model of loading,provides more reasonable assumptions,and simplifies the equilibrium equations.
The equilibrium equations of the segments are integrated into an entire equation group about stand-by parameters with the method of correlated matrix analysis and continuous conditions of adjacent segments.
Used Laminar model and numerical simulation, the equilibrium equations has been solved. The waves of diode voltage and current have been simulated and compared with the experimental result and theoretical solution.
To solve the problem of ill conditioned linear equations encountered in many fields, on basis of structure mechanics, the ill conditioned linear equations were modeled as equilibrium equations of a structure subjected to incremental forces.
Stress component functions are used to solve the problems of elasticity based on the equilibrium equations and stress compatible equation according to boundary conditions.
In this paper,the constant coefficient diffential equations are obtained by directly using the stress equilibrium equations and stress compatibility equations,the stress concentration problem at a circle hole is soved by the diffential equations.
A novel automatically step-up method (ASUM) to analyze creep and shrinkage effects at any time is presented. The relationship between stress and strain of concrete in prestressed concrete bridges is written as algebraic form within load duration and the equilibrium equations of internal force and compatibility conditions are introduced.
The process of dynamic analysis on a radar structure with FEM is discussed Kinetic equilibrium equations are given for the radar antenna structure Its structure is analyzed, its inherent frequency is calculated and its vibration shapes are discussed by taking an antenna model as an example from certain department
Continuity of tractions on the rod wire interface was applied, and the result forces and moments in the rod and wires were found by solving the equilibrium equations for both the rod and wires.
In this paper, the analysis formulas for length of warp towed by single and pair trawlers are derived respectively from cable dynamics equilibrium equations with the ideal working state of trawls as boundary conditions.
In this paper,the conception of local virtual work is used in order to eliminate φ0 and y0, and to reduce the amount of computation. Since local virtual equations W = U is proved, then the n unknown reactions can be solved by using n-2 virtual quations and two force equilibrium equations of beams.
The components in the GC column are regarded as a whole system, and the nonideal properties of the components are taken into account in the phase equilibrium equations.
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.
Giving up the hypothesis of σ_(γγ)= e_(γγ)= e_(αγ)= e_(βγ)=0, which is the well- known hypothesis of indeformable normal of shell surface as usually adopted by the current shell theories, this paper presents a new theory on thermal stresses in shells. Considering the effects of stress σ_(γγ), the stress normal to shell surface due to temperature, some basic relations were derived here for arbitrary shape of shcll. Theyare (1) thermal elastic relations. where and θ_o and θ_i are the temperature increment at ...
Certain difficulty arises when it is necessary to analyze elastic stability of thin-walled curved open tubes subjected to concentrated forces and moments and constrained by rather complicated boundary conditions. In this paper, starting with the equilibrium equations of curved open tube and using the method of fictitious distributing loading, we have obtained a system of ordinary differential equations with variable coefficients which can be used to calculate critical loads of structures. ...
This paper gives a simplified calculation method which solves equilibruim compositions of the combustion products of composite propellants (including C.H.O.N.Cl.S Al. Cu. Cr.etc nine chemical elements). The combustion products are double phases' systems. According to the element mass conservation equations and equilibrium equations for chemical reaction, the calculation formulae for calculating the partial pressure of composition of combustion products have been directly obtained。The calcu...