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The system equations are solved by a direct iterative approach to find out the thermal post-buckling equilibrium path.
Based on the mathematical programming technique, the finite element model of microstructure is finally formulated as a nonlinear programming problem subject to only one equality constraint, which is solved by a direct iterative algorithm.
The Ritz method is employed to derive the governing eigenvalue equation which is then solved by a direct iterative method to obtain the nonlinear vibration frequencies of cracked FGM beams with different end supports.
The Ritz method is employed to derive the governing eigenvalue equation which is then solved by a direct iterative method to obtain the nonlinear vibration frequencies of FG-CNTRC beams with different end supports.
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This permits a direct iterative solution to this problem.
A direct iterative algorithm is employed in solving the above optimization formulation.
A direct iterative process corresponding to both positive and negative deflection cycles is adopted.
The electron mobility is simulated by the direct iterative solution of the Boltzmann transport equation, which allows us to include correctly all the principal scattering mechanisms, elastic as well as inelastic.
A velocity field was generated by combining the direct iterative method with Newton-Raphson iterative method, and then the initial velocity field of backward tracing simulation was achieved by reversing the direction of the velocity field.
A generalized direct iterative algorithm is then developed to solve the resulting nonlinear programming problem.
A rotor section aerodynamic design package is developed by coupling the constrained direct iterative surface curvature (CDISC) design method with the FPX rotor code.
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