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Residual unbalance in hand-held power tool rotors transmits undesirable vibrations to the hand of its operator. These vibrations can be effectively suppressed using a one plane automatic dynamic balancer (ADB). This balancing device consists of several balls constrained to move inside a sealed cylindrical ball-race unit partially filled with oil. One of the hand-held power tools is an angle grinder. This study introduces the design of an ADB for eliminating vibration of a grinder based on the achieved design parameters. A physical model of the system is derived for a Jeffcott rotor with an ADB. Utilizing Lagrange's method, the nonlinear equations of motion for an autonomous system in polar coordinate system is derived. Further, the equilibrium position and the linear variational equations are obtained by the perturbation method. Moreover, the dynamic stability of the system in the neighborhood of the equilibrium positions is investigated by the Routh-Hurwitz criteria. The results of the stability analysis provide the design requirements for the ADB to achieve balancing of the system. In addition, time responses are presented by the generalized-alpha method. Employing the modal analysis method the equivalent damping and stiffness coefficients are achieved. Finally, the ADB is designed and manufactured by solving the equations of motion governed on identified unbalanced grinder. To evaluate and identify the performance of the ADB, vibration levels are measured in cases of with balancer, without balancer, and are compared with a typical commercial ADB.

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Abstract Most structural failures are because of break in consisting materials. These breaks are initiated with crack extension, which is a serious threat to the behavior of structure, so different methods have been developed for distinguishing and showing such cracks. Meanwhile, the new methods based on original wavelet transform are efficient and very important in the subject of signals. The main aim of this paper is to fin the methods capable of distinguishing the specifications of cracks practically. first a modal analysis of the structure was For this purpose, performed using ANSYS software, Then the structure was analyzed as original wavelet using the wavelet toolbox of MATLAB software the results are shown in two dimensional charts of coefficient-position.

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Abstact- There exist many methods of adding damping to a vibrating structure; however, very few can function without ever coming into contact with the structure. One such method is eddy current damping. This magnetic damping scheme functions through the eddy currents that are generated in a nonmagnetic conductive material when it is subjected to a time changing magnetic field. in this research work a variable eddy current damper is applied for controlling the vibrations of a cantilever beam. An displacement sensor is attached to the setup for measuring the feedback response for controlling system. A PID control algorithm is developed for the controlling system as the eddy current damper is a non-contacting system. Using this system, experiments are performed on a cantilever beam showing the system can effectively suppress each of the first three modes of vibration by upwards of 10 dB, demonstrating the actuator has an increased bandwidth over previously used eddy current methods. Keywors: Eddy Currents, Magnetic Dampers, FFT

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In this paper, fatigue lives of tensile-shear multi-spot welded joints with four spot per specimen with different arrangements have been investigated. For this purpose, three types of joints with axial, transverse and almond-shaped have been selected. The prediction of fatigue life of spot welded joints has been carried out based on the available S-N curve of smooth specimens and the values of fatigue strength reduction factors. The experimental results and numerical predictions were compared and it was observed a good agreement between experimental and numerical ones. In addition, the Experimental Modal Analysis (EMA) was applied on the specimens before and after different fatigue loadings. Then percent of the identified natural frequencies decreasing was investigated and its correlation with crack initiation and total fatigue life of spot welded joints was studied.

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  Abstract: For theoretical and practical investigation of damage increase on dynamic characteristics of concrete structures can use analytical model to extract dynamic characteristics such as natural frequency and mode shape. In this research, results of experimental and finite element analytical model for various specimens were compared. These specimens include RC beams and pre-stress concrete beams that constructed in laboratory. In this paper, one of the specimens was modeled for showing how modeling cracked concrete beams and specials notes related to nonlinear static analysis and modal analysis. In test case, damages are produced step-by-step applying the static load and modal characteristics of the specimen are measured via modal test immediately after loading step. However, in finite element modeling case is two complicated problems. Firstly, because concrete is a composite material, modeling of cracked concrete is very difficult. Secondly, in RC structures, both the concrete and steel have nonlinear behavior. Results of this research include peculiar notes that can be useful for other similar researches.      

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The closely spaced modes exist in symmetric structures such as circular plates, gears or disks. Theoretically, closely spaced modes are known as two separated modes with the same amount but, these modes are often detected as only one mode in the classical modal methods. In this article, at the first, some classical modal method is introduced and the most important of their difficulties is considered then, Operational Modal Analysis (OMA) is applied to abate these problems. The Stochastic Subspace Identification based on covariance (SSI-COV) driven is used for this purpose. Different conditions for closely spaced modes is considered and simulated on a free-free steel plate using Matlab software. In order to consider the SSI-COV method in identification of closely spaced modes experimentally, classical and operational modal testing are done on a steel ring. The numerical and experimental results from simulations demonstrate the effectiveness of OMA for identifying and separating the close modes.

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Dynamic analysis of the civil structures such as bridges, towers and buildings is required for their design and maintenance. Modal analysis is a powerful tool to conduct some part of dynamic analysis in determination of the modal parameter in terms of natural frequencies, damping factors and mode shapes. However, excitation of these structures is usually difficult and sometimes impossible. As these structures are usually excited by ambient forces such as wind, this idea is suggested that the structure is modeled considering the natural forces as the inputs.However, the ambient forces are unknown and have a complicated nature to be measured. An alternative approach is using the operational modal analysis concepts in which only the responses are measured and the modal parameter are extracted. In this article Frequency Domain Decomposition (FDD) method is used for identification of the modal parameter of a clamped-clamped beam and the results are compared with those of the FEM. The operational modal analysis is conducted on a type of a bridge under ambient forces in a real test and the results are compared with those of the conventional Modal testing. The results confirm the method for engineering applications.

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The current article presents an analytical approach, for determining the natural frequencies of a rotating cracked Euler–Bernoulli beam with a varying transverse cross-section, using the so-called differential transform method (DTM). First, the natural frequencies of the beam are obtained for different values of the crack position and depth. The results have been validated against those obtained from experimental modal test, Abaqus software and some other methods reported in the literature and a good agreement between the results is observed. Then, the inverse problem is investigated. For this reason, the position and depth of the crack of the rotating beam with a varying transverse cross-section are estimated using the genetic algorithm and then, the natural frequencies are obtained from the modal test. It is seen that the numerical results have a suitable agreement with the actual position and depth of the crack that indicates the effectiveness of this method in determining the parameters of the crack in the rotating beams.

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This paper discusses an adaptation of modal analysis concepts to time-varying periodic systems. It will be shown that the pseudo-modal parameters preserve certain properties of the conventional modal parameters defined for LTI systems. For this reason, after definition of pseudo modal parameters for time varying systems, a new modal analysis method will be introduced in time domain and it will be shown that these parameters could explain the nature of system. For periodic time varying systems, state transition matrices are formed by an ensemble set of responses which are obtained through multiple experiments on the system with the same time varying behavior. In next step the pseudo natural frequencies of a beam with moving mass using introduced method will be extracted. In final, it will be proved that for a linear time periodic system, the pseudo natural frequency treats periodic too.

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Conventional modal testing is a powerful tool for dynamic analysis of structures. One of the drawbacks of this technique is the problem of excitation of large structures such as: bridges, towers or trains. However, these structures are excited by ambient forces, such as wind, walking of people or passing the cars on bridges. Operational Modal Analysis (OMA) is the practical tool to overcome this problem. In OMA the structure is excited by ambient forces and only the responses are taken into account. In this article, the accuracy of one of OMA methods is investigated. The modal parameters of a cantilever beam are estimated both from Stochastic Subspace Identification–Covariance Driven (SSI-COV) method and Finite element method. The effect of noise and damping on the accuracy of modal parameters is investigated. Also, a crankshaft is considered for experimental investigation of the accuracy of SSI-COV method. The results show the applicability of SSI-COV method in practical cases.

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This paper studies the vibration characteristics of a cracked Timoshenko beam with a varying transverse cross-section using Differential Transform Method (DTM). The effects of the crack location and the crack size in calculating the natural frequencies and mode shapes are investigated. The result have been validated for a beam with and without the crack against those obtained from experimental modal test, Abaqus software and some other methods reported in the literature and a good agreement between the results is observed. The results show that the Timoshenko theory predicts fewer values for the natural frequencies because there is less rigidity, especially for large values of cross-section moment of inertia. Then, the inverse problem is investigated. For this reason, the position and depth of the crack of the beam with a varying transverse cross-section are estimated using the genetic algorithm and then, the natural frequencies are obtained from the modal test. It is seen that the numerical results have a suitable agreement with the actual position and depth of the crack that indicates the effectiveness of this method in determining the parameters of the crack in the Timoshenko beam.

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In this paper, the influence of carbon nanotubes on vibrational properties of laminated composite plates is studied theoretically and experimentally. The plates are made of glass/epoxy composite. Multi walled and single walled carbon nanotubes in different weight percentages are added to these composites. At first, carbon nanotubes are dispersed in the epoxy resin via ultrasonic procedure. Then the composite plates are made by hand layup and vacuum bagging methods in a mould manufactured for this research. Mechanical properties of the fiber composite reinforced by carbon nanotubes calculated using modified Halphin-Tsai equations. Next composite plates are modeled in ABAQUS software and frequency analysis is done. Also vibrational properties of structure are obtained by experimental modal analysis in fixed boundary condition. Experimental results showed 210% increase in damping for samples which have 0.5 weight percent of single walled carbon nanotubes (in comparison with plane glass/epoxy composite plates). Also a good agreement was observed between obtained natural frequencies from finite element analyses and experimental tests.

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One of the drawbacks of the operational modal analysis techniques is that there is no possibility of measurement of the responses in all required points, which is attributed to the limitations of either the number of accelerometers or the number of measurement channels. To overcome this shortcoming, an experiment should be performed in different steps and relations between these steps of the experiment are determined by selection of some specific points as reference points. Existing techniques use the correlation between measurement points to determine the reference points in which an increase in the environmental noise leads to the incapability of the method. In this paper, a new index for selection of reference points is introduced which is more efficient in the noisy environments. To evaluate the proposed method numerically, a comparison has been drawn between the results of this method and correlation approaches using a FE model of a beam. To validate the method, an experiment has been conducted on a steel plate. Obtained results from numerical and experimental cases show that the proposed index is more capable in reference point selection and calculation of the modal parameters of the structures comparing to the results of correlation method.

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Conventional modal testing of large structures is always associated with difficulties in artificial excitation of the structure. Operational Modal Analysis (OMA) is one approach to overcome the excitation problem. In OMA only the responses are measured and the structure is excited by ambient forces. For large structures the simultaneous measurement of responses in all selected points is usually impossible due to not having enough available accelerometers or measurement channels. Therefore, the structure is tested in several steps. As a result, some reference points should be selected to correlate all of the measurements. In this article a new criterion is introduced for selection of reference points based on finite element model of structure. A beam is used for numerical validation of the method. A steel beam is also used for experimental case study. Both numerical and experimental results demonstrate the effectiveness of this criterion.

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Conventional modal testing is known as a powerful tool for dynamic analysis of structures. However, for some engineering structures, conventional modal testing is difficult or even impossible to conduct due to the problems associated with the artificial excitation of structure. Operational Modal Analysis (OMA) is one solution to deal with these cases. In OMA the structure is excited by ambient forces and only the responses are measured and taken into account. Accelerometers are the traditional tools for measuring the responses of structure. It is well khonwn that the measured responses are contaminated by bias errors corresponding to the mass-loading effect of accelerometers. This causes the natural frequencies of structure are measured lower than the real values. In this paper a new method is proposed for eliminating the mass-loading effects of accelerometers from measured responses in OMA. A numerical model of a mass-spring-damper system is used for validation of the method. Also a steel plate is used for experimental validation of the proposed approach. The results are confirmed by those of conventional modal testing. Both numerical and experimental results show that the proposed method can effectively eliminate the mass-loading effects of accelerometers from measured responses in OMA. Also, the method has the ability to correct the measured natural frequencies from OMA accurately.

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Incremental Sheet Metal Forming (ISMF) is based on localized plastic deformation. In this process, a hemispherical-head tool, controlled by a CNC milling machine, shapes a sheet metal according to a defined path. Study of the forming force is one of the most important topics in this process. Increasing of vertical step size, tool diameter, wall angle and sheet thickness together with using of high strength sheet metals and lightweight alloys, leads to an increase in the forming force. In this paper, the performance of a novel forming process, named Ultrasonic Vibration assisted Incremental Sheet Metal Forming (UVaISMF) has been investigated. The procedure of design, manufacture and test of vibratory forming tool, is presented. The occurrence of longitudinal mode and resonance phenomenon has been confirmed by the results of modal analysis and experimental test. Furthermore, the effect of ultrasonic vibration on the vertical component of forming force and spring-back has been studied. Aluminium sheet of grade Al 1050-O is used as a work material. Experimental results obtained from straight groove test, indicate that ultrasonic excitation of forming tool, will reduce the average of vertical component of forming force and spring-back in comparison to conventional process.

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The inseparable parts of any industrial unit are usually the rotary machines. Fans are categorized as a common type of rotary machines, which play an important role in the industry. In order to decrease the repairing costs and energy consumption, Fans have to operate without vibration. However, if the fan unit with an acceptable level of vibrations is installed on a huge structure, the vibration caused by the fan can develop complications for the structure as well as serious problems for the fan itself. A long-time operation of a faulty fan can cause failure in the fan motor and fatigue in the structure. Therefore, investigating the root causes of the vibrations of the fan and decreasing the vibrations is vital for increasing the operating time and the efficiency of the fans. This study is focused on identifying the root causes of excessive vibrations of one of the air fans in BualiSina petrochemical company. First, the main frequencies which are responsible for the increase in vibration levels are identified, by using ODS analysis. Then, the natural frequencies of the structure are derived using the operational modal analysis (OMA). Also, the finite element model of the fan unit and the structure is developed based on the most possible compatibility with the experimental data. Finally, a number of suggestions for reducing vibration amplitudes of the fan are proposed.

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The Modal analysis is one of the applicable methods used to identify the dynamic characteristics of structures. Inspection of structures to avoid resonance conditions can be achieved by extracting vibration modes using modal analysis. Since every point of the vibrating structure has its own characteristics such as the displacement, speed and acceleration, therefore the measurement of these parameters in a specific time interval can be used to extract modal parameters. In this study, stereo vision as a non-contact measuring system is used to obtain the displacement of several points of the blade of a 2.5kW wind turbine with a length of 3m under the operational modal condition. At first, the camera calibration process is performed and then the three-dimensional data of the turbine blade are extracted from images recorded during the test. Consequently, modal parameters of the blade are calculated by analyzing the data. Finally, modal parameters obtained by three different methods including the stereo vision system, the finite element analysis and the testing accelerometer are compared. The results show that visually obtained data are sufficiently accurate to find the natural frequency of the first mode of the blade. The first natural frequency mode extracted by the stereo vision System shows a difference of 10.36% and 2.67% compared to the those obtained by finite element method and the accelerometer respectively.

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Today, composite material and sandwich plate structures are used more and more due to the unique properties such as a high ratio of strength to weight, corrosion resistance and energy or sound absorption ability. Corrugating sandwich structures is an effective method to reinforce mechanical properties of the composite materials. In this paper, dynamic analysis of these corrugated structures was carried out for a desired performance in the vibratory condition. One of the most important damages in the composite material layers is an inter-layer crack and also the separation between two layers. Vibration analysis of the trapezoidal corrugated sandwich plate was accomplished with ANSYS software using the finite element method. Simulated sandwich plate is a new model of corrugated sandwich plate which has a soft corrugated foam core and a cover of composite layers made from epoxy/glass. In order to validate the vibration behavior of the simulated sandwich plate, the results of experimental modal analysis were compared to the finite element method. The geometry and location effects of inter-layer crack on natural frequencies of the plate were investigated. It was found that with increasing crack dimensions the natural frequencies of the plate decreases and also depth of crack causes decreasing the natural frequencies which are promising results compared to the other references. The changes in vibration characteristics of the sandwich plate can produce comprehensive data to be used in training and designing of the artificial neural network for a promising approach in fault detection and prediction field.

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In transmission lines the environmental disturbances causes vibration of the lines (cables) as well as the structure which have destructive effect on the line and its components. To overcome this harmful effect, it seems necessary to reduce the transmission line vibration level. One of the most frequent methods for reducing the transverse vibration of cables is using dynamical dampers such as Stockbridge damper. Complication of calculating the bending stiffness as well as the energy absorption mechanism of these dampers makes it more difficult to be modeled. In this study the dynamical characteristics of Stockbridge damper considering the damping effect are studied. For system identification of Stockbridge damper, it is modeled as a 4DOF system and its various unknown parameters are obtained using model updating method and experimental modal analysis (EMA) which is optimized by Artificial Intelligence (AI) method. Then the effects of varying these parameters on its energy absorption are discussed. Finally, to validate the analytical results, some experimental tests were carried out on the energy absorption of Stockbridge damper. The analytical results are in good agreement with the experiments.