With the development of various metaheuristic algorithms, research cases that perform weight optimization truss structures are steadily progressing. In particular, due to possibility developing quantum computers, algorithms combined with computation being developed. this paper, QbHS (Quantum based Harmony Search) algorithm was proposed by combining and conventional HS (Harmony size topology structure performed. The has same repetitive computational as algorithm. However, constructed QHM...

We study the identification and identifiability problems for heat conduction in a nonhomogeneous rod. The results are established two different sets of observations. Given sequence distributed type observations, is proved conductivities piecewise smooth class functions. In case observations taken at finitely many points constant conductivities. Such can be uniquely identified using proposed marching algorithm.

We present the governing equation and study vibrations of multiple crack beams undergoing large deflections subject to transverse loads. First, primary motion is derived using Hamilton’s principle applied energy functions accounting for cracks. Then we derive a normalized vibration extensible cracked beam. Single beam examples are considered analyzed numerically verify validity equations. propose modified model axial force by considering reduced cross-sectional area. It expressed new...

This study is to analyse the dynamical instability (or buckling) of a steel space truss using accurate solutions obtained by high-order Taylor series method. One used obtain numerical for analysing instability, because it difficult find analytic solution geometrical nonlinearity system. However, can yield incorrect analyses in case model with high nonlinearity. So, we use semi-analytic nonlinear Based on solutions, investigate systems under step, sinusoidal and beating excitations. The...

The image data captured through a synthetic aperture radar (SAR) system is in general corrupted by multiplicative speckle noise. Due to the heavy structure of speckle, it extremely difficult identify objects an SAR without any denoising process. Therefore, this letter, we introduce new beta-divergence-based variational model with total variation (beta-TV). main advantage proposed beta-TV that reveals natural connection between maximum posteriori (MAP) estimation based nonconvex and...

Recently, a new field that combines metaheuristic algorithms and quantum computing has been created is being applied to optimization problems in various fields. However, the application of computing-based structural engineering insufficient. Therefore, this paper, we tried optimize weight truss structure using QbHS (quantum-based harmony search) algorithm, which conventional HS (harmony algorithms. First, convergence performance according parameter change algorithm was compared. The...

The ‘findpath problem’ a well-known problem in robotics, is the of finding path for moving solid among other obstacles. In this paper, solution proposed two-dimensional case where two point masses are required to move designated areas or targets located horizontal plane while avoiding stationary planar objects. main tool used solve 'second direct method Liapunov', powerful mathematical usually associated with stability analysis nonlinear systems. theory developed from solving findpath then...

In this paper a parameter identification problem for damped sine-Gordon equation is studied from the theoretical and numerical perspectives. A spectral method developed solution of state adjoint equations. The Powell's minimization used identification. necessary conditions optimization are shown to yield bang-bang control law. Numerical results discussed applicability examined.

In this paper we study the quadratic optimal control problems for nonlinear damped second order evolution equations in Hilbert spaces of Gelfand fivefolds. We prove existence controls, and establish necessary conditions optimality according to various types observations by using transposition method.

Abstract We develop a rigorous mathematical framework for the weak formulation of cracked beams and shallow arches problems. First, we discuss crack modeling by means massless rotational springs. Then introduce Hilbert spaces, which are sufficiently wide to accommodate such representations. Our main result is introduction specially designed linear operator that “absorbs” boundary conditions at cracks. also provide justification derivation Modified Shifrin’s method an efficient computation...

We Study the Problems Of identification for damped sine-Gordon equations with constant parameters. That is, we establish existence and necessary conditions optimal parameters based on fundamental control theory transposition method studied in Lions Magenes [5].

The existence, uniqueness and continuous dependence of global weak solutions coupled sine-Gordon equations are established in the framework variational method due to Dautray Lions. As an application solutions, we solve quadratic optimal control problems for systems described by equations.

We study the identification problems of constant parameters appearing in perturbed sine-Gordon equation with Neumann boundary condition. The existence optimal is proved, and necessary conditions are established for several types observations by utilizing quadratic control theory due to Lions [13].

This study aims to apply multistage homotopy perturbation method(MHPM) space truss composed of discrete members obtain a semi-analytical solution. For the purpose this research, nonlinear governing equation structures is formulated in consideration geometrical nonlinearity, and derived. The result carrying out dynamic analysis on simple model compared numerical method 4th order Runge-Kutta method(RK4), response by MHPM concurs with result. Besides, displacement attractor phase able delineate...

The paper develops a rigorous mathematical framework for the behavior of arch and membrane like structures. Our main goal is to incorporate moving point loads. Both weak strong damping cases are considered. First, we prove existence uniqueness solutions. Then it shown that solution in case limit solutions, as vanishes. theory applied car on bridge.