The dynamic performance of structures under traveling loads should be exactly analyzed to have a safe and reasonable structural design. Different higher-order shear deformation theories are proposed in this paper to analyze the dynamic stability of thick elastic plates carrying a moving mass. The displacement fields of different theories are chosen based upon variations along the thickness as cubic, sinusoidal, hyperbolic and exponential. The well-known Hamilton’s principle is utilized to derive equations of motion and then they are solved using the Galerkin method. The energy-rate method is used as a numerical method to calculate the boundary curves separating the stable and unstable regions in the moving mass parameters plane. Effects of the relative plate thickness, trajectories radii and the Winkler foundation stiffness on the system stability are examined. The results obtained in this research are compared, in a special case, with those of the Kirchhoff’s plate model for the validation. پرونده مقاله

در این پژوهش، پایداری ارتعاشات عرضی ورق مستطیلی شکل نازک با شرایط مرزی تکیه گاه های ساده که تحت عبور متناوب جرم های متحرک یکسان قرار دارد، با در نظر گرفتن تمامی ترم های اینرسی جرم های متحرک در تحلیل، مورد بررسی قرار گرفته است. در اثر عبور متناوب جرم ها از روی سطح ورق، یک مسأله ی پریودیک خطی حاصل می شود. از روش گالرکین، برای تبدیل معادله دیفرانسیل پاره ای ارتعاشات عرضی ورق به مجموعه ای از معادلات دیفرانسیل معمولی، استفاده گردیده است. در این تحقیق از تئوری فلاکه به عنوان یک روش تحلیلی عددی، برای بدست آوردن نواحی پایدار و ناپایدار صفحه ی پارامترها استفاده شده است. همچنین با بکارگیری روش پارامترهای فشرده به عنوان روشی نیمه تحلیلی، علاوه بر صحه گذاری بر نتایج حاصل از تئوری فلاکه، وجود پدیده ی پاسخ هم زمان برای سیستم ورق-جرم متحرک اثبات و نشان داده شده است. شبیه سازی های عددی انجام شده برای یافتن جابجایی نقطه میانی ورق، صحیح بودن نتایج تحلیلی حاصل از دو روش را به خوبی نشان می دهد. پرونده مقاله

The aim of this study is to employ the novel Adaptive Network-based Fuzzy Inference System to optimize the torque applied on the knee link of a rehabilitation robot. Given the special conditions of stroke or spinal cord injury patients, devices with minimum error are required for performing the rehabilitation exercises. After examining the anthropometric data tables of human body, parameters such as the length of shins, weight, force, joint angle etc. were chosen as the input data with the torque as the output of the system. Errors at any stage of the treatment can harm the patient or disrupt their recovery. Therefore, after examining different numbers of various fuzzy inference system membership functions and their consequent error, cases with the lowest error were chosen to be the best possible conditions for the system. Overall it can be said that a robot using the adaptive network-based fuzzy inference system offers negligible error. پرونده مقاله

In recent years, research centers and researchers have focused their efforts on producing vehicles with clean, compact, easy-to-transport, and low-emission vehicles. In this regard, many designs and ideas in the field of unicycle robots have been presented. Single-wheeled robots take up little space and are able to move in narrow spaces. The main purpose of this article is to significantly reduce the dimensions of the unicycle robot and to reduce its internal components, based on which the robot body is designed in the minimum possible dimensions. The mechanism design of this robot, unlike other robots, has its own difficulties and complexities. Using a wheel to move the entire assembly, including controllers, drivers, motors, and many other parts, requires a very precise design for the robot chassis. This design, in addition to including all the components of the robot, must organize the internal components in such a way that the center of gravity of the robot has as much inherent balance as possible. On the other hand, the design of the reversal mechanism in this structure is unique and is completely different from other reversal mechanisms in other unicycle robots. These changes caused a significant reduction in the dimensions and construction costs of this robot compared to similar robots. Using the CC3D controller and the LibrePiolet-GCS software, based on the maneuvers made for the robot, the necessary coefficients for the proportional-integrator-derivative controller were tested so that under them The robot is controlled and selected correctly and in balance. With the adjustment for the controller coefficients, the next maneuvers of the unicycle robot with a rate of over 85% were performed successfully. پرونده مقاله

This study investigates the dynamic stability of the Euler-Bernoulli functionally graded (FGM) nanobeam based on the nonlocal elasticity theory while considering surface effects. Nanoparticles pass over nanobeam sequentially with a constant velocity, and the nanoparticle inertia is also considered. A thermal gradient with constant temperature changes is applied to this nanobeam. The functionally graded nanobeam properties, including Young’s modulus, density, surface residual stress, and surface modulus are taken by the power law. The classical equations of motion are obtained by applying the Hamilton’s principle according to the energy method. The governing equations are extracted using nonlocal elasticity theory, and the surface effects are taken by Gurtin-Murdoch theory. The dynamic stability graphs will be presented on nanoparticle mass-velocity coordinates. This article investigated the small scale effect parameter, temperature changes, Pasternak environment shearing and elastic constants, and the volume fraction parameter in power law. The results show that increasing Pasternak foundation constants increase the functionally graded nanobeam stability, and increasing small scale parameter reduces its stability. Increasing nanobeam temperature shifts the functionally graded stability region of nanobeam towards faster nanoparticle velocity, which indicates a higher dynamic stability for the nanobeam. پرونده مقاله

In this paper, the effect of different boundary conditions on dynamic stability of a beam located on a viscoelastic medium stimulated by moving masses and periodic axial force is studied. Partial differential equations governing the system are derived using Hamilton's method and based on Euler-Bernoulli beam theory. Then, equations are converted into a set of ordinary differential equation with time-varying coefficients using Galerkin method along with trigonometric shape functions. The time-varying position of moving loads causes these time-varying coefficients in the governing equations. By applying Floquet's theory to the obtained equations, the conditions of parametric resonance are analyzed for different values of mass and velocity of passing loads. The results obtained from this research show that the stiffness and viscosity of the elastic medium have positive effects on the stability of the beam under moving and fluctuating axial loads. So, with a suitable choice for these values in practical applications, it is possible to prevent unexpected vibrations of the structure. In addition, the use of fixed supports for the two ends of the beam exposed to the mentioned loadings has high reliability in the discussion of dynamic stability. پرونده مقاله

In this paper, the dynamic stability analysis of a simply supported beam carrying a sequence of moving masses is investigated. Many applications such as motion of vehicles or trains on bridges, cranes transporting loads along their span, fluid transfer pipe systems and the barrel of different weapons can be represented as a flexible beam carrying moving masses. The periodical traverse of masses over the beam results a linear time periodic problem. Floquet theory and Incremental Harmonic Balance (IHB) method are used to obtain the boundary of stable and unstable regions in the plane of moving mass parameters. Results of IHB method do verify the boundary curve separating the stable and unstable regions generated by Floquet theory. Also the result of numerical simulations confirms the result of the applied semi-analytical methods. پرونده مقاله

The purpose of this article is modal analysis of ionic polymer metal composite beams, then briefing the system to the unique parameters to help in up modeling of the actuator. In this paper at first using of Mathematical analysis and Closed form transfer function of cantilever beam dynamic response to the forces of different inputs (intensive and continuous) is calculated and for different types of systems resonance and anti-resonance points in frequency analysis are found, then with using modal analysis of system the entire response is briefed in the basic mode and parameters of un-damped natural frequency and damping coefficient in this mode is to introduced for the system, after the cantilever composite beam considered as an operator with the input voltage, displacement and produces a force on the free end, By observing the behavior of the system, analyzed responses to the inputs پرونده مقاله