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A unified formulation of optimal guidance-to-collision law for accelerating and decelerating targets

Chinese Journal of Aeronautics 2022年第7期35卷 40-54页

作者： Young-Won KIM Boseok KIM Chang-Hun LEE Shaoming HE Department of Aerospace Engineering Korea Advanced Institute of Science and TechnologyDaejeon 34141Republic of Korea School of Aerospace Engineering Beijing Institute of TechnologyBeijing 100081China

This paper provides a unified formulation of optimal guidance-to-collision law for a target with an arbitrary acceleration or *** collision course for general target acceleration or deceleration is first determined from the engagement geometry in conjunction with the nonlinear engagement kinematics in the proposed *** heading error defined in the collision course is then adopted as a variable to be nullified for accomplishing the intercept *** proposed guidance law is derived based on the heading error dynamics and the optimal error dynamics to ensure optimality and finite-time *** illustrative examples,the proposed guidance command for a constant target acceleration and a target deceleration in the form of a quadratic function of speed are ***,the time-to-go prediction method is suggested for implementing the proposed *** characteristics of the proposed guidance command are analytically investigated to provide insight into the proposed *** key benefits of the proposed method lie in not producing unnecessary guidance commands near a target compared to other methods and ensuring optimality in guidance command even in the nonlinear engagement ***,numerical simulations are performed to validate the proposed method and to show our findings.

关键词： Guidance-to-collision law Optimal guidance Optimal error dynamics Target acceleration or deceleration unified formulation

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Vibrational behavior of isotropic plate structures in contact with a bounded fluid via unified formulation

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Chinese Journal of Aeronautics 2019年第4期32卷 921-937页

作者： F.G.CANALES J.L.MANTARI Faculty of Mechanical Engineering Instituto de Investigación en Ingeniería Naval(IDIIN)Universidad Nacional de Ingenieria(UNI) Department of Mechanical Engineering University of New Mexico

This paper presents an analytical solution for free vibration analysis of thick rectangular isotropic plates coupled with a bounded fluid for various boundary conditions. In order to consider displacement theories of an arbitrary order, the Carrera unified formulation(CUF) is used. The eigenvalue problem is obtained by using the energy functional, considering plate and fluid kinetic energies as well as the potential energy of the plate. The Ritz method is used to evaluate the displacement variables, and the functions used in the Ritz series can be adjusted to consider any of the classical boundary conditions. The convergence of the solution is analyzed, and a validation of results considering open literature and 3D finite element software is performed. Parametric studies are carried out to obtain natural frequencies as a function of the side-to-thickness ratio, plate aspect ratio, fluid domain size, plate boundary conditions, and fluid-solid density ratio. Pressure and velocity in the fluid domain are evaluated in order to establish the consistency of the *** results for thick plates are obtained with a much lower computational cost compared to that of 3D finite element solutions.

关键词： Added mass Fluid-structure interaction Plate Ritz method unified formulation Vibration

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The Ritz-Sublaminate Generalized unified formulation approach for piezoelectric composite plates

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International Journal of Smart and Nano Materials 2018年第1期9卷 34-55,I0002页

作者： Michele D’Ottavio Lorenzo Dozio Riccardo Vescovini Olivier Polit LEME UPLUniv Paris NanterreVille d’AvrayFrance Department of Aerospace Science and Technology Politecnico di MilanoMilanoItaly

This paper extends to composite plates including piezoelectric plies the variable kinematics plate modeling approach called Sublaminate Generalized unified formulation(SGUF).Two-dimensional plate equations are obtained upon defining a priori the through-thickness distribution of the displacement field and electric *** to SGUF,independent approximations can be adopted for the four components of these generalized displacements:an Equivalent Single Layer(ESL)or Layer-Wise(LW)description over an arbitrary group of plies constituting the composite plate(the sublaminate)and the polynomial order employed in each *** solution of the two-dimensional equations is sought in weak form by means of a Ritz *** this work,boundary functions are used in conjunction with the domain approximation expressed by an orthogonal basis spanned by Legendre *** proposed computational tool is capable to represent electroded surfaces with equipotentiality ***-vibration problems as well as static problems involving actuator and sensor configurations are *** case studies are presented,which demonstrate the high accuracy of the proposed Ritz-SGUF approach.A model assessment is proposed for showcasing to which extent the SGUF approach allows a reduction of the number of unknowns with a controlled impact on the accuracy of the result.

关键词： Piezoelectric composites variable kinematics model Ritz method unified formulation

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Boundary discontinuous Fourier analysis of thick beams with clamped and simply supported edges via CUF

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Chinese Journal of Aeronautics 2017年第5期30卷 1708-1718页

作者： F.G.CANALES J.L.MANTARI Faculty of Mechanical Engineering Universidad de Ingenieriay Tecnologia ( UTEC) Lima 15063 Peru Department of Mechanical Engineering University of New Mexieo Albuquerque 87131 USA

This paper presents an analytical solution for static analysis of thick rectangular beams with different boundary conditions. Carrera＇s unified formulation（CUF） is used in order to consider shear deformation theories of arbitrary order. The novelty of the present work is that a boundary discontinuous Fourier approach is used to consider clamped boundary conditions in the analytical solution, unlike Navier-type solutions which are restricted to simply supported *** equations are obtained by employing the principle of virtual work. The numerical accuracy of results is ascertained by studying the convergence of the solution and comparing the results to those of a 3D finite element solution. Beams subjected to bending due to a uniform pressure load and subjected to torsion due to opposite linear forces are considered. Overall, accurate results close to those of 3D finite element solutions are obtained, which can be used to validate finite element results or other approximate methods.

关键词： Analytical solution Beam Clamped Fourier unified formulation

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Electro-mechanical analysis of composite and sandwich multilayered structures by shell elements with node-dependent kinematics

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International Journal of Smart and Nano Materials 2018年第1期9卷 1-33,I0001页

作者： E.Carrera S.Valvano G.M.Kulikov Department of Mechanical and Aerospace Engineering Politecnico di TorinoTurinItaly Laboratory of Intelligent Materials and Structures Tambov State Technical UniversityTambovRussia

In this work,a new class of finite elements for the analysis of composite and sandwich shells embedding piezoelectric skins and patches is *** main idea of models coupling is developed by presenting the concept of nodal dependent kinematics where the same finite element can present at each node a different approximation of the main unknowns by setting a nodewise through-the-thickness approximation *** a global/local approach scenario,the computational costs can be reduced drastically by assuming refined theories only in those zones/nodes of the structural domain where the resulting strain and stress states,and their electro-mechanical coupling present a complex *** numerical investigations are carried out to validate the accuracy and efficiency of the present shell *** accurate representation of mechanical stresses and electric displacements in localized zones is possible with reduction of the computational costs if an accurate distribution of the higherorder kinematic capabilities is *** the contrary,the accuracy of the solution in terms of mechanical displacements and electric potential values depends on the global approximation over the whole *** efficacy of the present node-dependent variable kinematic models,thus,depends on the characteristics of the problem under consideration as well as on the required analysis type.

关键词： Shell piezo composite structures global/local analysis unified formulation nodedependent kinematics

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