Modal Testing Method Research Articles

A simplified model for nonlinear seismic response analysis of equipment cabinets in nuclear power plants

An analytical model is required when the analysis method or the combined analysis and modal testing method is used as an aid to the seismic qualification (SQ) of equipment cabinets within nuclear power industry. This study proposes a simplified and computationally efficient model to represent the nonlinear dynamic behavior of the cabinet during earthquake. The presented model accounts for the softening behavior of the cabinets by incorporating the Duffing's type of restoring force. The characteristic of nonlinear restoring force for the finite element model (FEM) is based on the relationship of stress–strain of the element. Experiments have also been performed on an actual cabinet of nuclear power plant (NPP) to validate the model. The softening or reduction in dynamic stiffness of cabinets with increase in the excitation levels is observed in the experiments. It is also found that material yielding is not a significant source of the nonlinear behavior of the cabinet. The results obtained from the analysis using the proposed model are found to be in good agreement with the experimental results. The proposed model is expected to be useful for the prediction of seismic behavior of cabinets, particularly during the operation, owing to less computational effort required, accurate prediction of softening and no requirement of tests.

The Theoretical Prediction and Experimental Verification of Modal Parameters for Carbon Fiber Reinforced Composites with Sandwich Structure

A innovative structure of sandwich composite rectangular plate with dimensions of 350 ×83.5×9.5mm was designed, it was made of unidirectional prepreg of carbon fibre and woven fabric prepreg of carbon fiber as face materials and paulownia as core material by hand lay-up performing and press molding technology for investigating the dynamic performance such as natural frequency and modal shapes. Based on testing the in-plane and out-plane mechanical properties of composite samples reinforced by unidirectional carbon fibre and carbon fiber woven fabric, a ANSYS FEA dynamic modeling was developed. According to the impulse response modal test method, a modal test system was established. The natural frequency test results showed that the minimum natural frequency of sandwich composite rectangular plate is about 616.45Hz which is higher about 27.5% than that of aluminum rectangular plate reinforced by carbon. The modal experiment indicated that the 1st modal shape, 2nd modal shape, 3rd modal shape and 4th modal shape of the sandwich composite rectangular plate were torsional vibration, flexural vibration shape, torsional flexural vibration and double-flexural vibration separately. It was found the calculating precision of FEA dynamic predication was very high, the dynamic predicating results by FEA could provide fundamental data to the optimal design high speed reciprocating sandwich composite rectangular parts.

The Effect of Reinforcement Structure on the Modal Parameters for Sandwich Structure Composite Plate

In order to investigate the effect of different reinforcement structure on the dynamic characteristics of sandwich structure composite plates used for manufacturing the high speed reciprocating motion composite components, four kinds of paulownia wood sandwich composite test specimens with dimensions of 350×83.5×9.5mm was designed and made by hand lay-up performing and press molding technology. The woven and 2D braiding fabric prepreg were both selected as top face and inner face materials , respectively, and the carbon fiber woven fabric prepreg was chosen as inner part materials. According to the impulse response modal test method, a modal test system was established. It was found that this kind of sandwich structure composite plate has bigger natural frequency value, it’s minimum natural frequency was about 609.77Hz that could meet the requirement for high speed reciprocating motion parts. The dynamic test results shown that the natural frequency of F2BAF-IUC-CPW sample is higher t about 11.17% at least, selecting 2D integral braiding pipe fabric as top face and inner face reinforced materials could effectively improve the dynamic properties of sandwich composite rectangular plates. The modal experiments indicated that the modal shapes of sandwich composite plate specimen with four kind reinforcement structures were identical, it’s 1st modal shape, 2nd modal shape and 3rd modal shape presented torsional vibration shape, flexural vibration shape and torsional flexural vibration shape, separately, the modal shapes of sandwich composite plate specimen were not obviously affected by reinforcement structure.

주포 사격시험을 이용한 대형 함정의 모달테스트

The accurate results of finite element analysis are directly related to reliability FE model which is exactly describing dynamic characteristics of target structure. So, a model updating is necessary to establish reliable FE(Finite Element) model with a lot of experience and effort using modal testing. A large structure is too difficult to obtain the dynamic characteristics owing to its weight and size. In this work, using main gun firing test, modal testing was performed to obtain dynamic characteristics of large naval vessel, which is difficult to tap the general modal testing method. The result of experiment was considered its possibility and future plans.

MULTI-POINT MEASUREMENT OF STRUCTURAL VIBRATION USING PATTERN RECOGNITION FROM CAMERA IMAGE

Modal testing requires measuring the vibration of many points, for which an accelerometer, a gab sensor and laser vibrometer are generally used. Conventional modal testing requires mounting of these sensors to all measurement points in order to acquire the signals. However, this can be disadvantageous because it requires considerable measurement time and effort when there are many measurement points. In this paper, we propose a method for modal testing using a camera image. A camera can measure the vibration of many points at the same time. However, this task requires that the measurement points be classified frame by frame. While it is possible to classify the measurement points one by one, this also requires much time. Therefore, we try to classify multiple points using pattern recognition. The feasibility of the proposed method is verified by a beam experiment. The experimental results demonstrate that we can obtain good results.

Generalized Galerkin Method for Modal Testing of Structure with Pseudomaterials

This paper presents a generalized Galerkin method based on the dynamic flexibility matrix expansion technique. The main objective is to develop an analysis to predict the modes and frequencies of a real structure when the design verification methods used to conduct on-the-ground tests can only be performed on a pseudomaterial structure. It is critical to develop analytical methods that correctly predict the dynamic behavior of real structure in order to guarantee a successful design of complex structures. Oftentimes, a full-scale spacecraft modal test cannot be performed on the real model due to hazardous payloads it carries. Stable and relatively inexpensive materials are often used to replace these hazardous materials during the test. The basic idea for analyzing these test modes of pseudomaterial structures is based on eigenvalue reanalysis techniques. This method is relatively easy to understand and can be implemented into the existing method. It is numerically accurate and efficient and can be applied to assist in large, complex space structure designs.

Nonferromagnetic material inserted magnetostrictive patch bonding technique for torsional modal testing of a ferromagnetic cylinder

Torsional vibration testing requires pure torsional mode transduction. However, no reliable technique is available for exciting torsional vibrations in ferromagnetic cylinders for a relatively wide range of frequencies. A magnetostrictive patch bonding excitation method developed for nonferromagnetic cylinders, based on the magnetostrictive principle, may be considered for ferromagnetic cylinders. However, the direct bonding of a magnetostrictive patch onto a ferromagnetic cylinder fails because the applied magnetic field spreads to both the patch and the cylinder and thus generates unwanted modes of vibration such as longitudinal modes. Thus, a modified or new technique must be developed in order to concentrate the applied magnetic field mainly on the patch, while causing the patch deformation to fully transfer to the cylinder. This paper presents a modified magnetostrictive patch bonding excitation and measurement technique suitable for ferromagnetic cylinders. The key idea is to insert a nonferromagnetic material between the test cylinder and the magnetostrictive patch. Because the thickness of the material or the gap size critically affects the torsional vibration test by the magnetostrictive patch bonding method, a series of numerical and experimental investigations to find the optimal gap size are conducted. Other factors affecting the developed modal testing method are also considered. The validity of the developed method is checked by comparing the experimentally obtained eigenfrequencies of a test ferromagnetic cylinder with the theoretical eigenfrequencies.

Visualization of Sound Field by Use of Modal Testing and Surface Intensity Method

Visualization of Sound Field by Use of Modal Testing and Surface Intensity Method

Measurement and correlation of high frequency behaviors of a very flexible beam undergoing large deformation

A correlation method of high frequency behaviors of a very flexible beam undergoing large displacement is presented. The suggested method based on the experimental modal analysis leads to more accurate correlation results because it directly uses the modal parameters of each mode achieved from experiment. First, the modal testing and the parameter identification method are suggested for flexible multibody dynamics. Due to the flexibility of a very thin beam, traditional testing methods such as impact hammer or contact type accelerometer are not working well. The suggested measurement with high speed camera, even though the test beam is very flexible, is working well. Using measurements with a high speed camera, modal properties until the 5th mode are measured. And After measuring each damping ratio until the 5th mode, a generic damping model is constructed using inverse modal transformation technique. It’s very interesting that the modal transformation technique can be also applied even in the ANCF simulation which uses the global displacement and finite slope as the nodal coordinates. The results of experiment and simulation are compared until the 5th mode frequency, respectively, by using ANCF forced vibration analysis. Through comparison between numerical simulation and experiment, this study showed that the proposed generic damping matrix, modal testing and parameter identification method is very proper in flexible multibody dynamic problems undergoing large deformation.

Full-field non-destructive analysis of composite plates

Abstract In this paper, both the modal testing method and amplitude-fluctuation (AF) electronic speckle pattern interferometry (ESPI) were used to measure the resonant frequencies, mode shapes, phase distributions and whole-field displacements of composite plates with and without defects. Square- and circular-shape defects of two different sizes were used in the composite plates. Two different stacking sequences of the composite plates were adopted, i.e. [0/90] 3S and [±45] 3S . Before performing the curing process of the composite plates in the hot press, four Teflon sheets were inserted into the pre-cut defect-shape space from the 3rd to 6th prepreg layers to simulate the defect. By using the digital video camera, in contrast with other interferometric techniques, AF-ESPI fringe patterns with distinct nodal lines can be continuously obtained for both resonant and non-resonant frequencies. It was also found that both the anomaly of the AF-ESPI fringe patterns around the defect, in particular at higher frequencies, and the decrease of resonant frequencies due to the defect are feasible ways to detect the existence of the defect.

High-frequency torsional modal testing of a long cylinder by magnetostriction

The torsional modal testing of cylindrical bodies still remains formidable. This is because pure torsional eigenfrequencies typically lying in the kilohertz frequency range are nearly impossible to excite by popular excitation methods. In this study, a torsional modal testing method using a set of magnetostrictive patches, specially arranged permanent magnets, and solenoids is investigated to cover a frequency range of a few kilohertz. The use of magnetostrictive patches for the testing was motivated by torsional wave experiments using the patches, but the use of special magnet configurations was a key to successful modal testing. The developed method was validated with experiments.

Experimental modal analysis for microelectromechanical systems

The structural dynamics behavior of microelectromechanical systems (MEMS), which include moving, overhung, and compliant subcomponents, plays a pivotal role in determining their performance and reliability. Traditionally, experimental modal analysis is used to characterize the dynamic behavior of structures, as well as to derive, validate, update, and correct analytical and numerical models. Due to their small size, however, conventional modal testing methods cannot be directly applied to microstructures. In this paper we provide an overview of modal testing techniques for microsystems. A particular experimental modal analysis methodology that includes base excitation via a piezoelectric shaker and measurement through a laser interferometer is then described and evaluated. A distinguishing characteristic of the methodology is its simplicity, including its simple setup and off-the-shelf components. The modal model is derived for the base excitation of microcantilever beams. The effectiveness of the methodology is illustrated through various experiments on polysilicon microcantilevers for different geometries and ambient pressures. Analysis of the damping data for different pressures has confirmed the well-documented fact that the structural damping in microsystems can be considerably less than damping arising from interaction with the ambient gases.

Damping effects on the response of maxillary incisor subjected to a traumatic impact force: A nonlinear finite element analysis

The aim of this study was to evaluate the effects of damping on stress concentration in an impacted incisor. Damping ratios of maxillary incisors were tested using an in vivo modal testing method. A finite element model of the upper central incisor was established for dental trauma analysis. To assess the effect of damping properties on induced stresses in the traumatized incisors, equivalent stresses in the finite element model with various damping ratios were calculated for comparison. The mechanisms of cushioning properties of the upper incisors on traumatic injuries were assessed by profiling the stress distributions in the incisor model sequentially with time. The measured damping ratio of maxillary incisors was 0.146+/-0.037. When the incisor was subjected to an impact force, high stresses were concentrated at the labial and lingual incisor edges, cervical ridge, and the area around root apex. When the damping ratios of the incisor model were set at 10- and 50-fold of the measured values, the peak stresses induced near the impact site of the incisor model were reduced from 24.0 to 23.2 and 15.9 MPa, respectively. On the other hand, the peak stress lagged and the stress existence period increased when the damping properties were taken into consideration. Damping properties of teeth provide protection to the tooth during traumatic injury by decreasing the peak stress magnitude due to release of strain energy over a longer period.

Modal Testing and Finite Element Analysis of a Battery Rack for Seismic Applications

One of the most challenging aspects of reliability testing in the telecommunication industry is earthquake resistance testing. Cabinet systems, battery racks, equipment racks, and distribution frames are considered compliant with Network Equipment-Building System (NEBSTM) criteria for surviving earthquake conditions if test results indicate (1) the maximum deflection of the top of the structure does not exceed 7.6 cm (3 in.), (2) there are no permanent deformations or structural damage, and (3) the equipment or batteries remain functional (as defined in NEBS Requirements: Physical Protection, Specification GR-73 Issue 2). Based on seismic test results of a large population of telecom enclosures, it is accepted that a system always passes the seismic test if its fundamental natural frequency is at least 6 Hz. It is costly to produce and configure enclosures and conduct seismic qualification testing. To minimize the risk of telecom system failure, a modal finite element analysis (FEA) of the system should first be performed. Numerical results of the FEA should then be verified with experimental resonance search data generated by modal testing or sine sweep testing, combined with static pull testing where applicable. The resonance search results will determine the need for seismic testing (seismic analysis) prior to seismic qualification testing. This paper elaborates on key aspects of the static pull test method supported by the test results for a cabinet framework and a configured cabinet relative to the seismic test results. The paper also discusses sine sweep testing of a battery cabinet and results of two modal test methods used on the corresponding battery rack. Finally, this paper describes modal FEA of the same battery rack anchored to a concrete pad supported by a polystyrene plastic foam sheet and explains the correlation of the numerical results with the experimental modal analysis results. The correlated model serves as the baseline model for analyzing other battery racks and equipment cabinets configured with batteries.

Noncontact modal testing of hard-drive suspensions using ultrasound radiation force

The head-gimbal assembly suspension is a cantilever-like structure that holds the heads on a hard drive. We will discuss a noncontact method for modal testing, of suspensions in air, that utilizes the radiation force at the difference frequency generated by two intersecting ultrasound beams. The resulting low-frequency excitations were measured using a scanning vibrometer. This excitation technique has been demonstrated for MEMS and other small devices. There are several unique advantages of the ultrasound radiation force relative to mechanical shakers. Since the ultrasound radiation force is noncontact, a specialized test fixture was not needed; the technique was relatively insensitive to distracting resonances of fixtures and support structures. Another advantage is broadband excitation; a 550-kHz confocal ultrasound transducer excited suspension resonance frequencies from under 1 kHz to over 50 kHz. Other advantages include the ability to selectively excite different modes. For example, the amplitude of the suspension’s 2.28-kHz transverse mode was suppressed by an order of magnitude by shifting the modulation phase between the two ultrasound beams by 90. In another test, the amplitude of the 6.01-kHz torsional mode was doubled by moving the ultrasound focus point from near the center to near the edge of the suspension.

Identification and decentralized control of a dual-actuator hard disk drive system

The dual-actuator hard disk drive with two voice coil motor actuators mounted in the diagonal corners of the baseplate allows faster data access with relatively slow spindle speed. However, the mechanical interaction between the actuators tends to affect the head positioning accuracy. In this paper, we use the circle-fit modal testing method to identify the dual-input dual-output frequency response model of the dual-actuator plant. We discuss the decentralized control scheme for the dual-actuator tracking servo. The servo loop decomposition reveals that the interaction induces narrow-band vibrations near the crossover frequency. We propose a phase-lead interaction filter with a slight change to the loop stability to suppress the vibrations. Experimental results on a dual-actuator prototype show that the position error signal 6/spl sigma/ value due to interaction vibrations is reduced by 61% with the interaction filter in combination with the decentralized control scheme.

A review of multishaker excitation modal testing methods

Common modal tests employ either impact excitation with a modally tuned hammer or random excitation with a single shaker. While these methods of testing are usually adequate for simple structures, analysis of complex and in many cases nonlinear structures requires more sophisticated test methods. This paper provides a comprehensive overview of test methods less commonly used, but essential for characterizing the dynamic behavior of complex systems and structures made of composite materials. Among the methods discussed are stepped sine, MIMO, MIMO stepped sine, and normal-mode analysis. The paper discusses the suitability of each test method for various circumstances and offers guidance on the application of each method.

Identification of rotating asymmetry in rotating machines by using reverse directional frequency response functions

A quick and easy but comprehensive identification method for rotating asymmetry in rotating machines is proposed, based on the complex modal testing method. In this work it is shown that the reverse directional frequency response function (reverse dFRF), which indicates the degree of asymmetry, can be identified with a simple testing method requiring only a single vibration sensor and a single exciter. To clarify physical realization associated with estimation of the reverse dFRF, its relation to the conventional frequency response functions, which are defined by the real input (excitation) and output (vibration measurement), are discussed extensively.

Complex modal testing of asymmetric rotors using magnetic exciter equipped with hall sensors

The complex modal testing methods developed for asymmetric rotors are briefly discussed and their performances are experimentally evaluated. For the experiments, a laboratory test rotor is excited by using a newly developed, cost effective magnetic exciter equipped with Hall sensors, which measure the excitation forces. It is concluded that the exciter system is characterized by a wide bandwidth and a high resolution for both the excitation and force measurement, and that the one-exciter/two-sensor technique for complex modal testing of asymmetric rotors is superior to the standard two-exciter/two-sensor technique in terms of practicality and realization.

On the use of the autocorrelation function to identify the damage in the side shell of a ship's hull

When structural damage occurs, the dynamic characteristics of the structure changes correspondingly. This can be used to detect damage occurrence. In this paper, an autocorrelation function was utilized to identify damage in the side shell of ship structures using a combination of experimental and numerical studies. A stiffened plate was used to model the side shell of a ship structure. The damage was simulated by a cut in the longitudinal near the transverse member. The cut was made using a hacksaw. An experimental study using modal testing methods was carried out to measure the random response time history of the undamaged and damaged stiffened plate model. The random response time history was used to obtain its autocorrelation function and its random decrement signature. The autocorrelation function was then compared with the random decrement signature. Finite element models were developed for the stiffened plate, in the undamaged and damaged conditions. The random responses of the model were used to obtain the autocorrelation functions. The autocorrelation functions obtained numerically were compared to the ones obtained experimentally. The results indicate that the autocorrelation functions can be used to identify the occurrence of damage in the stiffened plate model.