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This article presents a novel rescue robot with three-degrees of freedom leg mechanism based on the serial-parallel and wheel-legged mechanisms, which consists of two Universal joint-Prismatic joint-Spherical joint plus one Universal joint and Revolute joint serial-parallel mechanism. Firstly, the structure model of the whole mechanism and the leg mechanism is developed, the dimension parameters of leg mechanism are designed, and the degrees of freedom of the whole mechanism and the leg mechanism is analyzed. Secondly, the forward and backward position solutions of the swing leg and the standing leg are solved, and the work space is obtained. Thirdly, the kinematics is investigated by the influence coefficient method, including the Jacobi matrix and linear velocity and angular velocity of each rod's centroid of the leg mechanism. Finally, the simulation and experiment are carried out, and the feasibility of this wheel-legged rescue robot and the correctness of the above research are verified.

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The Industry 4.0 and smart city solutions are impossible to be implemented without using IoT devices. There can be several problems in acquiring data from these IoT devices, problems that can lead to missing values. Without a complete set of data, the automation of processes is not possible or is not satisfying enough. The aim of this paper is to introduce a new algorithm that can be used to fill in the missing values of signals sent by IoT devices. In order to do that, we introduce Shepard local approximation operators in Riesz MV-algebras for one variable function and we structure the set of possible values of the IoT devices signals as Riesz MV-algebra. Based on these local approximation operators we define a new algorithm and we test it to prove that it can be used to fill in the missing values of signals sent by IoT devices.

The paper is based on the analytical and experimental results from [14], [15] and reveals, by mathematical methods, the degradation of ma- terial stifiness due to the decrease of the first natural frequency, when the driving frequency is slightly lower than the first natural frequency of the undegradated structure. By considering the vibration of the uni- form slender cantilever beam as an oscillating system with degrading hysteretic behavior the following equation is considered subjected to the boundary conditions To approximate the solution of the this problem, we use the method of Newton interpolating series (see [6]) and the Taylor series method (see [8]).

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The main concern of this study is an extension of some results, proposed by Green and Lindsay in the classical theory of elasticity, in order to cover the theory of thermoelasticity for dipolar bodies. For dynamical mixed problem we prove a reciprocal theorem, in the general case of an anisotropic thermoelastic body. Furthermore, in this general context we have proven a result regarding the uniqueness of the solution of the mixed problem in the dynamical case. We must emphasize that these fundamental results are obtained under conditions that are not very restrictive.

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