Mixed finite element and differential quadrature method for free and forced vibration and buckling analysis of rectangular plates

This paper presents a combined application of the finite element method （FEM） and the differential quadrature method （DQM） to vibration and buckling problems of rectangular plates. The proposed scheme combines the geometry flexibility of the FEM and the high accuracy and efficiency of the DQM. The accuracy of the present method is demonstrated by comparing the obtained results with those available in the literature. It is shown that highly accurate results can be obtained by using a small number of finite elements and DQM sample points. The proposed method is suitable for the problems considered due to its simplicity and potential for further development.

Development of quadrilateral spline thin plate elements using the B-net method

The quadrilateral discrete Kirchhoff thin plate bending element DKQ is based on the isoparametric element Q8, however, the accuracy of the isoparametric quadrilateral elements will drop significantly due to mesh distortions. In a previous work, we constructed an 8-node quadrilateral spline element L8 using the triangular area coordinates and the B- net method, which can be insensitive to mesh distortions and possess the second order completeness in the Cartesian co- ordinates. In this paper, a thin plate spline element is devel- oped based on the spline element L8 and the refined tech- nique. Numerical examples show that the present element indeed possesses higher accuracy than the DKQ element for distorted meshes.

RECIPROCAL THEOREM METHOD FOR SOLVING THE PROBLEMS OFBENDING OF THICK RECTANGULAR PLATES

In this paper,reciprocal theorem method(RTM) is generalized to solve theof bending of thick rectangular plates based on Reissner’s theory.First,the paper gives the basic solution of the bending of thick rectangular platesand then the exact analytical solution of the bending of thick rectangular plate withthree clamped edges and one free edge under umiformly distributed load is found byRTM, finally, we analyze numerical results of the sohution.

Field Capacity in Black Soil Region, Northeast China

In this work, 23 black soil profiles were surveyed and 113 soil samples were collected to determine the field capacity (FC) of the black soil in Northeast China. The effectiveness of three methods measuring FC, the Wilcox method (WM), the undisturbed soil pressure plate method (PUM) and the air-dried sieved soil pressure plate method (PDM) were compared to select a suitable laboratory measurement method. Results show that the FC values measured by PDM are greater than those measured by PUM, and the values measured by PUM are greater than those measured by WM. PUM is more suitable for the determination of FC in the study area. One regression equation between PUM and PDM has been established through which undisturbed soil can be replaced by air-dried sieved soil, which is easier to get, to measure FC. FCs vary from 23.50% to 37.00%, with an average of 31.65%, which differ greatly among the 23 black soil profiles. FC is found to be significantly positively correlated with the silt content, clay content and bulk density of the soil, but significantly negatively correlated with the sand content. An empirical pedotransfer function is established to estimate the FC using available soil physical and chemical properties.

Study on Thermal Insulation Performance of Cross-Laminated Bamboo Wall

In recent years,bamboo,as a green building material,has attracted more and more attention worldwide.Inspired by the investigation of cross-laminated timber in structural systems,a new engineered cross-laminated bamboo(CLB)consisting of the cross lamination of bamboo scrimber plates is proposed in this paper.To evaluate its potential in structural applications,the thermal insulation performances of the CLB walls and CLB walls with the EPS foam plate were studied and evaluated by the temperature-controlled box-heat flow meter method.Test results indicated that the thermal insulation performance improved with the increase of thickness,but different wall configurations had little effect on the thermal insulation performance under the same thickness of the CLB wall.The thermal insulation performance of EPS-CLB composite wall was much better than that of CLB wall.In addition,a relatively acceptable accuracy of the theoretical calculations was proved.Finally,the influence of different locations of the EPS foam plate on heat transfer coefficient can be neglected as it was studied based on the validated numerical models.

TRANSVERSE VIBRATION CHARACTERISTICS OF VISCOELASTIC RECTANGULAR PLATE WITH CRACK

Based on the two-dimensional viscoelastic differential constitutive relation and the thin plate theory, the differential equations of motion of the viscoelastic plate with an all-over part-through crack are established and the expression of additional rotation induced by the crack is derived. The complex eigenvalue equations of the viscoelastic plate with crack are derived by the differential quadrature method, and the 8method is used at the crack continuity conditions. Dimensionless complex frequencies of a crack viscoelastic plate with four edges simply supported, two opposite edges simply supported and other two edges clamped are calculated. The effects of the crack parameter, the aspect ratio and dimensionless delay time of the material on the transverse vibration of the viscoelastic plate are analyzed.

THE PROBLEMS OF NONLINEAR BENDING FOR ORTHOTROPIC RECTANGULAR PLATE WITH FOUR CLAMPED EDGES

In this paper,under the non-uniformtransverse load,the problems of nonlinear bending for orthotropic rectangular plate are studied by using'the method of twovariable'[1]and 'the method of mixing perturbation'[2].The uniformly valid asymptotic solutions of Nth-order for ε1 and Mth-order for ε2 for ortholropic rectangular plale with four clamped edges are oblained.

NON-LINEAR DYNAMIC BEHAVIOR OF THERMOELASTIC CIRCULAR PLATE WITH VARYING THICKNESS SUBJECTED TO NONCONSERVATIVE LOADING

The non-linear dynamic behaviors of thermoelastic circular plate with varying thickness subjected to radially uniformly distributed follower forces are considered. Two coupled non-linear differential equations of motion for this problem are derived in terms of the transverse deflection and radial displacement component of the mid-plane of the plate. Using the Kantorovich averaging method, the differential equation of mode shape of the plate is derived, and the eigenvalue problem is solved by using shooting method. The eigencurves for frequencies and critical loads of the circular plate with unmovable simply supported edge and clamped edge are obtained. The effects of the variation of thickness and temperature on the frequencies and critical loads of the thermoelastic circular plate subjected to radially uniformly distributed follower forces are then discussed.

Thermomechanical Characterization of a Bio-Sourced Material Based on Clay and Alfa Fibers

Bio-based materials are of great interest owing to their abundance and the immense potential they display as an ideal alternative to widely used industrial construction materials(that directly and indirectly harm the environment).In this scope,an in-depth experimental study is presented here on clay-based materials aimed to enhance their properties through the addition of other bio-based components such as fibers,in the present case alfa fiber.The thermal conductivity and mechanical properties(compressive and flexural tensile strengths)of the composite clay-alfa material are analyzed with the percentage of alfa fiber in the matrix ranging from 0%to 4%.It is concluded that a percentage of alfa fibers between 1%and 2%is the most effective to get the required optimization of thermal and mechanical behavior of this bio-based material.

Microbial Limit Test of Zhideke Granules

[Objectives]To test the microbial limit of Zhideke granules.[Methods]According to the relevant regulations on the testing of granules in Chinese Pharmacopoeia in 2015,the applicability of the methods for counting the total number of aerobic bacteria,molds and yeasts and objectionable organisms in Zhideke granules was studied.[Results]The total number of aerobic bacteria in Zhideke granules was determined by dilution plate method(1∶20,1 mL per dish),the total number of molds and yeasts was determined by conventional plate method(1∶10,1 mL per dish),and E.coli was detected by conventional method of TTB(1∶10 test solution,10-100 mL TSB).[Conclusions]The method was suitable for the microbial limit test of Zhideke granules.

Hygiene,sanitation facility,and assessment of drinking water quality in the schools of Chattogram city,Bangladesh

Objective:This study is designed to evaluate the microbiological safety concern of drinking water of the 50 schools of Chattogram city,Bangladesh,and to investigate the sanitation and hygiene conditions of the schools,which are directly related to the health of thousands of students.Methods:In this study,pour plate method used for total viable count(TVC),most probable number(MPN)method used for the total coliform count(TCC)and fecal coliform count(FCC),and four selective media used to isolate pathogenic bacteria from drinking water samples,and then identified by using morphological,cultural,and biochemical tests.To investigate the water,sanitation,and hygiene conditions a structured questionnaire was used.Results:A total of 46% samples were found above the acceptable limit(>500 CFU/ml)for TVC count,52%sam-ples had coliform,and 28% samples had fecal coliform,which exceeded the WHO guideline value.We categorized 50 studied schools into five groups and found the highest TVC(67%)and TCC(83%)in the water samples of city corporation schools.E.coli,Salmonella,Shigella,Enterobacter,Citrobacter,Klebsiella,and Yersinia were isolated and identified from drinking water samples.In most schools,drinking water reservoirs were found impure and contaminated by various bacteria.In government primary schools,a toilet is used by 143 students,whereas in pri-vate English medium schools,a toilet is used by 30 students and found clean.Hand-washing soap was supplied in only 14% of government primary schools,but 100% in private English medium schools.Conclusion:Our findings suggest that drinking water in most of the schools was found contaminated by pathogens.Poor hygiene,sanitation,and contaminated drinking water seem responsible for different kinds of diseases.More-over,this study indicates the necessity for raising awareness about drinking water,hygiene,and sanitation facil-ities of schools,which should monitor at regular intervals.

A preliminary study on air microorganism in a wood mill

The air microbial species and quantities in a wood mill in Harbin, China weremeasured using sedimentation plate method. Results showed that the microbial quantity in the air atthe workshop without depurator (54939 cfu·m^(-3)) was 2.1 times that of the workshop withdepu-rator (25768 cfu·m^(-3)). The depurator could purify air microorganisms at the workshop, witha purifying rate of 53.1%, but it did not reach the standards of clean air. Comparatively thedepurator is effective in reducing the quantity of air actinomyces, and some kinds of airactinomyces, such as Scabies, Cinereas and Hygroscopicas, can be clean out, but it is not veryeffective to bacteria and fungi. It is suggested that more effective and feasible methods should bedeveloped for purifying air microorganisms at the workshop in the future.

Postoperative Fracture Healing Effects of Locking Compression Plate for the Treatment of Limb Fractures

Objectives To study the effects of applying locking compression plates in the treatment of patients with limb fractures on postoperative fracture healing.Methods:115 patients with limb fractures who were treated in our hospital from November 2019 to November 2020 were selected.In order to study the effective treatment method,the random-number table method was used in this study to divide the patients into two groups,namely the experimental group and the control group,and the locking compression plate treatment method and the pure plate and screw internal fixation treatment method were administered respectively to study their clinical application effects.Results:Compared with the control group,patients in the experimental group had a lower incidence of complications,shorter hospitalizations and shorter recovery time.Meanwhile,the experimental group had a better quality of recovery,and all data were significantly different from those of the control group,P<0.05,the intervention effect of the experimental group was better.Conclusion:The application of the locking compression plate in the treatment of patients with limb fractures is more conducive to promoting the postoperative healing of the patients'fractures,reducing the incidence of postoperative complications,and promoting the rapid recovery of patients,which has positive significance for clinical development.

A novel method to detect bacterial resistance to disinfectants

In clinical practice,the important hygienic prevention of bacterial pathogen spread is disinfection of potentially contaminated area.Benzalkonium bromide and chlorhexidine acetate are commonly used disinfectants with a broad spectrum of antimicrobial effect.It is vital to inhibit the spread of pathogen in hospital.However,a large number of pathogens with the decreased antiseptic susceptibility have been isolated from clinical samples which showed an increased minimal inhibitory concentration(MIC)against those antiseptics.These resistant pathogens are the major causes for nosocomial crossinfections in hospital.The present study demonstrated the utility of Oxford plate assay system in determining the potential disinfectant resistance of bacteria.The microbiological assay is based on the inhibitory effect of tested disinfectants upon the strains of Staphylococcus aureus and Escherichia coli.Statistical analysis of the bioassay results indicated the linear correlation(r=-0.87-0.99,P<0.01)between the diameter of growth inhibition zone and the log dosage of the tested disinfectants.Moreover,comparison of inhibitory efficacy of benzalkonium bromide upon 29 S.aureus strains isolated from clinical samples by both Oxford plate method and broth dilution method showed that the diameter of growth inhibition zone has significantly negative correlation with the minimal inhibitory concentration(MIC)(r=-0.574,P<0.001).These results suggest that the Oxford plate is a simple and time-saving method in detecting potential clinical disinfectant resistance and its usefulness for routine surveillance of pathogenic resistance to disinfectants warrants further investigation.

Wave propagation of laminated composite plates via GPU-based wavelet finite element method

This paper presents a novel parallel implementation technology for wave-based structural health monitoring (SHM) in laminated composite plates. The wavelet-based B-spline wavelet on he interval (BSWI) element is constructed according to Hamilton’s principle, and the element by element algorithm is parallelly executed on graphics processing unit (GPU) using compute unified device architecture (CUDA) to get the responses in full wave field accurately. By means of the Fourier spectral analysis method,the Mindlin plate theory is selected for wave modeling of laminated composite plates while the Kirchhoff plate theory predicts unreasonably phase and group velocities. Numerical examples involving wave propagation in laminated composite plates without and with crack are performed and discussed in detail. The parallel implementation on GPU is accelerated 146 times comparing with the same wave motion problem executed on central processing unit (CPU). The validity and accuracy of the proposed parallel implementation are also demonstrated by comparing with conventional finite element method (FEM) and the computation time has been reduced from hours to minutes. The damage size and location have been successfully determined according to wave propagation results based on delay-and-sum (DAS). The results show that the proposed parallel implementation of wavelet finite element method (WFEM) is very appropriate and efficient for wave-based SHM in laminated composite plates.

A SIMPLE FINITE ELEMENT METHOD FOR THE REISSNER-MINDLIN PLATE

A simple finite element method for the Reissner-Mindlin plate model in the primitive variables is presented and analyzed. The method uses conforming linear finite elements for both the transverse displacement and rotation. It is proved that the method converges with optimal order uniformly with respect to thickness.It is simpler and more economical than the Arnold-Falk element[1].

A spectroscopic method for determining thickness of quartz wave plate

A spectroscopic method to determine thickness on chromatic polarization interferometry. With of quartz wave plate is presented. The method is based the polarization-resolved transmission spectrum （PRTS） curve, the phase retardation of quartz wave plate can be determined at a wide spectral range from 200 to 2000 nm obviously. Through accurate judgment of extreme points of PRTS curve at long-wave band, the physical thickness of quartz wave plates can be obtained exactly. We give a measuring example and the error analysis. It is found that the measuring precision of thickness is mainly determined by the spectral resolution of spectrometer.

THE PARTIAL PROJECTION METHOD IN THE FINITE ELEMENT DISCRETIZATION OF THE REISSNER-MINDLIN PLATE MODEL

In the paper a linear combination of both the standard mixed formulation and the displacement one of the Reissner-Mindlin plate theory is used to enhance stability of the former and to remove ''locking'' of the later. For this new stabilized formulation, a unified approach to convergence analysis is presented for a wide spectrum of finite element spaces. As long as the rotation space is appropriately enriched, the formulation is convergent for the finite element spaces of sufficiently high order. Optimal-order error estimates with constants independent of the plate thickness are proved for the various lower order methods of this kind.

Effect of size on biaxial flexural strength for cement-based materials by using a triangular plate method

The effect of size on the biaxial flexural strength(BFS)of Portland cement mortar was investigated by using the recently proposed triangular plate method(TPM).An experimental program was conceived to study the size effect by keeping a constant water-cement ratio of 0.485,cement-sand ratio of 1:2.75,and using unreinforced triangular mortar plates of five different thicknesses and seven different side lengths.The BFS of the produced specimens was tested,and variations of BFS depending on specimen thickness and side length were determined.The results indicated that increases in triangular plate specimen side length and specimen thickness led to a decrease in the BFS of Portland cement mortar.The effect of specimen length increase on BFS was more significant than on the effect of the specimen thickness.The variations in specimens’thickness indicated a deterministic Type I size effect,while the variations in specimens’length showed an energetic-statistical Type I size effect.

MEMS gyro temperature compensation identification algorithm based on thin plate spline interpolation method

MEMS gyroscopes are widely used in the underwater vehicles owing to their excellent performance and affordable costs.However,the temperature sensitivity of the sensor seriously affects measurement accuracy.Therefore,it is significantly to accurately identify the temperature compensation model in this paper,the calibration parameters were first extracted by using the fast calibration algorithm based on the Persistent Excitation Signal Criterion,and then,MEMS gyro temperature compensation model was established by utilizing the thin plate spline interpolation method,and the corresponding identification results were compared with the results from the polynomial fitting method.The effectiveness of the proposed algorithm has been validated through the comparative experiment.