Side Of Plate Research Articles

Mechanical performance of polyhedral hollow glass units under compression

This research presents an experimental program and a numerical analysis executed to understand the strength and stiffness properties of polyhedral hollow glass units (HGU) that are intended for use in modular construction of all-glass, compression-dominant, shell type structures. The proposed compression-dominant geometric form has been developed using the form finding methods of 3D/polyhedral graphical statics. This research takes the first steps towards a new construction methodology for glass structures by exploiting the high compression strength of glass. The test matrix includes four HGUs, two each fabricated with 1 mm and 2 mm thick adhesive tape where the glass plates are all 10 mm thick annealed float glass cut using a 5-axis abrasive waterjet. Testing was done with the HGU oriented such that load was introduced on the short side edges of the two deck plates, resulting in an asymmetric load-support condition. All samples failed explosively by flexural buckling. Strain and deformation data clearly show the presence of second order behavior resulting from bending deformation. In general, linear axial behavior transitions to nonlinear second order behavior, with increasing rates in deflection and strain growth ultimately ending in glass fracture on the tension surfaces of the buckled deck plates. Failure resulted in complete disintegration of the deck plates, but with no observable cracking in any of the side plates and a secure connection on all adhesive tape. A companion finite element analysis was performed to validate the experimental results of this study. The results of the experimental and numerical programs clearly demonstrate the feasibility of using HGUs for modular construction of compression-dominant, all-glass shell type structures.

METHOD FOR INGUINAL HERNIA TREATMENT WITH XENOPERICARDIUM

— Our experimental study shows the possibility of using a xenopericardial plate as a prosthesis in patients with inguinal hernias. The method of hernioplasty proposed by us is tension-free prosthetic technique. The advantage of the proposed method is the low probability of recurrence of a hernia in the area of the inner inguinal ring by strengthening both the posterior and anterior walls of the inguinal canal. Due to the fact that the spermatic cord, m. transversus abdominis and m. obliquus internus abdominis are in contact with the smooth antiadhesive surface of the xenopericardial plate, there is no formation of rough cicatricial fusion and no dysfunction of these structures. As an experiment, this method was tested on thirty Wistar rats with implantation of a prosthesis in the tissue of the anterior abdominal wall. Morphological and morphometric assessment of the tissue in the area of implantation shows that the formation of connective tissue around the implanted hernioprosthesis is very active. The final stage of the experiment (after 3 months) has revealed that the rough side of xenopericardial plate is tightly fixed to the underlying tissues. The xenopericardial plate contacting the tissues with the smooth side does not cause the formation of connective tissue, which protects this area from adhesions in the postoperative period.

Experimental and numerical study on the performance of new prefabricated connections for free-form grid structures

Free-form grid shell structures are widely used for stadiums, airport terminals, exhibition pavilions, shopping malls and warehouses, however, the shape of the grid surface is usually complex. A flexible joint that can adapt to the curvature variation of the free-form surface is therefore important for assembling such structures. To meet the demand of various curvatures for single-layer free-form grid structures, a new type of prefabricated bolted joint is introduced in this paper. A series of in-plane bending tests were conducted to investigate the initial stiffness and the moment resistance of the joints. Coupon tests were carried out to study the material properties and provide parameters for a numerical study. FE models considering the geometric and material nonlinearity were developed and validated by the tests. Parametric studies were then carried out using the developed FE model to investigate the influencing geometric factors of the in-plane behaviours semi-rigid joints. The results demonstrated that the initial in-plane stiffness of the joints is dominantly controlled by the endplate thickness, the side plate thickness, the bolt diameter and the bolt row distance, while the moment resistance of the joint is governed by the endplate thickness, the side plate thickness, the sleeve cross-sections and the bolt row distance. Subsequently, FE analysis was carried out using the validated FE models to investigate the out-of-plane behaviour of the proposed assembled joint. The experimental and numerical study showed that the proposed joint has good rotational capacity and load-bearing resistance, therefore has the potential to be applied in the design and construction of free-form grid structures.

Investigation for the effect of side plates on thermal runaway propagation characteristics in battery modules

• Energy flow of battery modules with and without side plates was clearly quantified. • Effect of side plates on thermal runaway propagation behaviors was fully analyzed. • Mechanisms affecting failure point of a module with side plates were clarified. • Guidelines for selecting parameter of side plates was proposed for a safer module. Side plates have been commonly arranged around lithium-ion batteries to ensure their structural stability when combining modules, which could affect the heat transfer path once thermal runaway propagation occurs in the battery modules, owing to the good thermal conductivity of side plates. However, the effect of side plates on the propagation characteristics is not comprehensively studied. In this paper, a validated three-dimensional thermal runaway propagation model of a battery module is used to investigate the propagation behaviors under different design schemes with side plates. A parametric study is carried out to determine the energy flow distribution of battery modules with and without side plates, and to evaluate the effect of the structural and thermal boundary parameters of the side plates on the failure propagation behaviors. The results indicate that the side plates delay the initial thermal runaway trigger time, considerably affect energy flow distribution, and aggravate the heat transfer. Approximately 40.8% of effluent energy passes through the side plates, dominating the critical point for battery thermal runaway propagation. Furthermore, with side plates surrounding the module, the initial thermal runaway trigger time is delayed by 12.7%, whereas the average propagation time interval between adjacent batteries is shortened by 27.4%, compared to those without side plates. An increase in the thickness, area, and aspect ratio of the side plates can postpone the initial thermal runaway trigger time, while shortening the average propagation time interval. This work adds new knowledge in the failure propagation mechanism within battery modules with side plates, enlightening the thermal safety design of high-energy battery modules.

The Strength Evaluation of 5600 DWT Double Hull Oil Tanker Subjected to Fender Load

The double hull of the oil tanker is more critical on the fender load because the wing tank was void at the full load condition. The strength evaluation of the side hull oil tanker based on fender load using two variables. Scenario A shows that the hull structure was safe based on the fender load. Scenario B shows that the side plate and longitudinal structure were damaged. PIANC needs to review the allowable strength of the pressure of the fender load on the ship with the tank.

Rarefied gas flow around a double-plate induced by temperature difference

Radiometric phenomena are expected to be applied to lifting or propelling high-altitude aerospace craft, however, the temperature difference between both sides of the radiometric plate is too small to produce a substantial force. In this work, we proposed a double-plate structure as an alternative to the radiometric plate. The flow around the double-plate was studied for a wide range of plate temperatures, gap-to-radius ratios and Knudsen numbers with molecular kinetic theory and the direct simulation Monte Carlo (DSMC). Kinetic analysis reveals that the normalized force and heat fluxes acting on the plates could be well approximated by exponential-decay functions of the gap-to-radius ratio when the gap-to-radius ratio is smaller than 2. Pressure distributions on the plates demonstrate that the gas-plate interactions combine dynamics of rarefied flow, continuum flow and the geometrical effect. Dependences of the normalized forces and heat fluxes on Kn , gap distance, and plate temperatures were studied in dimensionless form and compared with those of radiometric flow. Analytical formulations were developed to evaluate the forces and heat flux acting on the double-plate quickly. The double-plate could produce a force which is larger than its weight at altitudes around 70 k m if the parameters were properly selected.

Thermodynamic investigation on solar air heater having roughness as multiple broken arc and circular protrusion

This study looked at the effectiveness of a solar air heater for heating air that has multiple ribs (broken arc shaped) and an arc-shaped circular protrusion on the rear side of the solar air heater absorber plate. Simulations were done on the commercial code FLUENT (v14.0) using the RNG k-ξ model at a uniform heat flux of 1000 W/m2. The relative roughness pitch of the rib are ranging from 10 to 30, broken arc rib has height of 1 mm, the gap between the broken arc and circular protrusion is 2.5 mm, the distance between two broken arc ribs has been kept as 20 mm, and circular protrusion has diameter of 0.8 mm In present study the maximum hydraulic thermal performance (THP = 3.31) was observed at Re = 20,000 where g/e = 0.8, protrusion diameter d = 0.6 mm, distance between the roughness p = 30. To better understand fluid flow physics, velocity pathlines, temperature contours and turbulent kinetic energy contours have been plotted. The post-CFD result shows the design of roughness is beneficial in achieving desired performance of solar air heater. The presence of gaps and protrusions creates the required turbulence in the duct that improve the thermal performance of solar air heater with minimum penalty of frictional pressure drop.

Carbon-coated stainless steel as a bipolar plate material in PEM water electrolyzers

The kinetically sluggish oxygen evolution reaction in proton exchange membrane water electrolyzers (PEMWEs) leads to high potentials of >1.5 V vs RHE at the anode electrode during operation. In contrast, an investigation with an in situ reference electrode indicates a much lower potential at the anode side of the bipolar plate which would allow the use of stainless steel and carbon as the bipolar plate materials. This decoupling is induced by the low conductivity of the circulating deionized water. In single cell electrolyzer tests, we show that carbon-coated 316L (C-316L) stainless steel is suitable as a bipolar plate material in contact with the anode and cathode sides of the PEMWE. The coating remains stable throughout the experiments, i.e., 720 h at the anode and 1000 h at the cathode side. Based on these results we regard carbon-coated stainless steel as a sustainable solution for the large-scale application of PEM water electrolysis since it might replace (Pt-coated) titanium in the bipolar plate.

Research on Cutting Performance of Conical Pick Cutting Rock Plate with One Side Constrain and Three Sides Free.

To improve the conical pick cutting performance by per cutting to the free surface. The cutting performance of rock and rock plate breaking are investigated by theoretical and experimental methods. Analyzed the fracture position of the rock plate with constrained one side by the pick to study the effect of rock properties and the rock plate structural parameters on cutting force. The results indicated that the rock plate fracture is mainly from the constrained side and center of the rock plate. The cutting force of the conical pick is significantly affected by the rock plate structural parameters and the constraint sides of the rock plate number. The cutting force increases obviously with the increase of plate thickness, cutting point depth, and the rock uniaxial compressive strength. However, the influence of rock plate constrains sides number is opposite. It provides a basis for improving the cutting performance of pick and predicting the rock plate fracture.

Finned wafer baking plates for heat transfer and distribution

Wafer baking is a recognized process in food industry, and there is a large worldwide demand to develop wafer baking equipment for the current trends, namely, high-productivity, high quality with lower wastes and lower energy expenditure. This work deals with the thermal design of the heating side of flat wafer baking plates in gas ovens seeking less heat, less baking time and better quality control. The key feature under study is the thermal interaction between the gas flames and the baking plates. Heat flows mostly by thermal radiation to the back of the baking plates which design is under study. Heat then reaches the opposite side where the batter (dough) is duly baked. The flames are modelled as a radiant solid surface with fixed geometry and uniform equivalent mean temperature. Steady, 2-d, heat conduction within the baking plate determines the superficial temperature field of the baking side. All the physics is modelled mathematically and solved in a commercial finite-element software. The method of Constructal Design is employed in order to explore possible designs of the back surface of the baking plates with the goal of providing uniform temperature heating at the baking side. We explored, for instance, the possibility of extended surfaces for a given volume of material. Variable rectangular, trapezoidal and parabolic straight long fins were considered. They varied in number and geometry. Results showed the baking plate with 17 fins provides a better heat distribution and increase of near 20°C from the plate with 3 fins. This means an overall gain of approximately 10%. In sum the new designs provide better heat transfer that in turn decreases the baking time, and it also improves heat distribution that in turn warrants product quality. Furthermore, the new designs provide the same mechanical resistance with less 17% material.

Efficiency of rotor blades for drones with high thrust guide

One of the methods to improve the thrust of a drone rotor is to attach an external guide composed of a bottom plate and cylindrical side plates around the outer circumference of the rotor blades. Although its thrust force has been studied in previous research, its efficiency as a thrust system is still unknown. In this study, the efficiency of the thrust system is evaluated from the thrust force and power consumption of the thrust system. Experimental results show that the thrust increases by 15% and the power consumption per rotor power decreases by 7%. The “figure of merit” (FM) also increases by 0.1 with the addition of the external guide.

FLEXURAL STRENGTHENING OF DIMENSIONAL WOOD JOISTS WITH STEEL REINFORCEMENT

ABSTRACT Traditional approaches to the strengthening of dimensional wood roof joist systems are often intrusive and require a substantial amount of additional labour to remove ceilings or roof sections. In an effort to design a less intrusive system for reinforcing over-stressed dimensional wood joists, a roof joist strengthening system was designed consisting of a tension steel plate installed along the bottom of the existing joists with bolted side plate connections. An experimental program was conducted at the University of Manitoba to assess the viability of the reinforcement design. A total of 15 joists were tested to failure under four-point bending conditions, consisting of 5 unreinforced control joists, 5 joists with steel reinforcement, and another 5 reinforced joists with an artificial defect introduced at mid-span along the tension side. The purpose of introducing an artificial defect at mid-span was to simulate the failure modes observed at R.W. Bobby Bend School in Stonewall, Manitoba, where certain roof joists contained knots, splits or cracks along the bottom of the joist within the mid-span region. Service loads based on the applied snow and dead loads applied to these joists were calculated using the National Building Code of Canada [1] and were approximated in the experiment as 8.5 kN. The results indicated that the steel reinforcement produced a 46.8% increase in average load-carrying capacity compared to control joists, and a 33.1% increase in capacity for reinforced joists with artificial defects. The average deflection at service loads was 19.5% lesser than the deflection of the control joists, and the apparent stiffness was determined to increase by 50.0%. The results from this research support the conclusion that the steel reinforcement system for dimensional wood joists is a viable alternative to traditional systems that effectively increases the load-carrying capacity, stiffness, and ductility of the structure.

Sliding Hip Screw and Side Plate for Intertrochanteric Hip Fractures.

The sliding hip screw procedure can be divided into (1) preoperative planning; (2) patient positioning; (3) C-arm setup; (4) closed reduction of fracture; (5) sterile preparation and draping; (6) lateral hip approach; (7) guide pin insertion; (8) triple-reaming the proximal aspect of the femur; (9) sliding hip screw insertion into the femoral neck and head; (10) side plate insertion, engaging the sliding hip screw, and fixation to the femur; (11) lag compression screw insertion (if appropriate); and (12) final fluoroscopic images and wound closure. Intertrochanteric hip fractures must be surgically treated to avoid morbidity and increased risk of mortality. Nonoperative treatment is occasionally indicated in nonambulatory patients or those with high perioperative risk. If treated surgically, a common alternative implant option includes the intramedullary nail. Finally, for severely comminuted fractures or failed internal fixation, total hip arthroplasty may be necessary. Sliding hip screws are as effective as intramedullary nails and often less costly6. In general, the quality of fracture reduction is more critical than the choice of implant7. A prospective study found no significant difference in walking ability with either sliding hip screws or intramedullary nails for stable intertrochanteric fractures8. By 6 months, the majority of fractures will have healed; according to a prospective randomized study, 91% of stable fractures and 85% of unstable fractures had achieved radiographic union by that time9. Another study showed radiographically healed fractures in all 106 patients treated with sliding hip screws at median follow-up of 13.6 months8. Watch out for comminution of the greater or lesser trochanter, which may require supplemental fixation.Prior to completely reflecting the vastus lateralis muscle, control the bleeding from any perforators with use of 2-0 silk ties. This prevents recurrent bleeding, which often occurs if only cautery is utilized to coagulate these vessels.Utilize a 4.5-mm drill hole in the lateral cortex of the femur in order to allow for minor adjustments of the anterior femoral neck guide pin; otherwise, the pin will be held tightly and continue to be bound in the same direction by the lateral cortex on repeated attempts.If the guide pin is inadvertently withdrawn along with the reamer after reaming, a lag screw may be placed backward in the newly reamed hole and the guide pin passed back through the lag screw to reposition it.Extracapsular hip fractures should be carefully scrutinized for signs of instability, such as lateral wall comminution or reverse obliquity. The fracture may displace posteriorly when the patient is supine on the fracture table.While placing the guidewire, multiple entry attempts can weaken the lateral cortex and propagate the fracture into the subtrochanteric region.Superior placement of the lag screw results in poor tip-apex distance and a higher chance of screw cut-out.Be careful to prevent guidewire penetration into the hip joint.Loss of reduction or femoral head malrotation may occur during lag screw insertion. AP = anteroposteriorfx's = fracturesIMN = intramedullary nailIV = intravenousPDS = polydioxanone sutureSHS = sliding hip screwTFL = tensor fascia lata.

Effect of Al or Ti addition on the Ferrite Formation in Ultra-low Oxygen Weld Metal of Low Carbon Steel

Effect of Al or Ti addition on the ferrite formation in ultra-low oxygen (about a few tens ppm) weld metal of low carbon steels were investigated. A bead-on-plate welding experiments were performed with a Tungsten Inert Gas (TIG) welding system. The double nozzle was attached to the welding torch used, Ar was passed along the outer nozzle and He is added along the inner nozzle. Optical micrographs showed that primary ferrite appeared along prior austenite grain boundaries and that as the temperature is decreased ferrite side plates were grew into grain interior. Their formation positions were approached to the welding end as the decreasing Al and increasing Ti content. This change in ferrite formation position attributed on the ferrite formation temperature, which was assumed to increase as the decreasing Al and increasing Ti content. Energy dispersive X-ray spectroscopy analysis of inclusions showed that Al and Ti were mainly associated with O, it was obvious that the inclusions in the steels were Al- and Ti- oxide inclusions. Al-oxide inclusions were not favourable acicular ferrite nucleation sites and that the inclusions contributing to acicular ferrite formation were Ti-oxide ones. The number density of acicular ferrite was small. This indicated that acicular ferrite formation was suppressed because the number density of inclusions was low under the ultra-low oxygen welding condition.

Development of Real-time Temperature Field Measurement System by Using Temperature Sensitive Paint

Thermocouple and infrared thermography have been widely used to measure a temperature. However, thermocouple is only one point measurement, and infrared thermography cannot use through infrared impermeable material such as water or acrylic board. To solve these problems, we have developed a real-time temperature measurement system by using temperature sensitive paint (TSP). TSP is a kind of luminescent paint and its luminescent intensity decreases with increasing temperature. Using temperature dependency of TSP, planar temperature distribution can be measured from an image of luminescent intensity taken by digital camera. TSP is composed of luminescent molecule, binder, and solvent. In the present study, Ru(phen)32+ is adopted as luminescent molecule, and blue LED is used to excite the molecule. To evaluate the present measurement system, the temperature of the side plate in a two-dimensional jet was measured.

FLEXURAL STRENGTHENING OF DIMENSIONAL WOOD JOISTS WITH STEEL REINFORCEMENT

ABSTRACT Traditional approaches to the strengthening of dimensional wood roof joist systems are often intrusive and require a substantial amount of additional labour to remove ceilings or roof sections. In an effort to design a less intrusive system for reinforcing over-stressed dimensional wood joists, a roof joist strengthening system was designed consisting of a tension steel plate installed along the bottom of the existing joists with bolted side plate connections. An experimental program was conducted at the University of Manitoba to assess the viability of the reinforcement design. A total of 15 joists were tested to failure under four-point bending conditions, consisting of 5 unreinforced control joists, 5 joists with steel reinforcement, and another 5 reinforced joists with an artificial defect introduced at mid-span along the tension side. The purpose of introducing an artificial defect at mid-span was to simulate the failure modes observed at R.W. Bobby Bend School in Stonewall, Manitoba, where certain roof joists contained knots, splits or cracks along the bottom of the joist within the mid-span region. Service loads based on the applied snow and dead loads applied to these joists were calculated using the National Building Code of Canada [1] and were approximated in the experiment as 8.5 kN. The results indicated that the steel reinforcement produced a 46.8% increase in average load-carrying capacity compared to control joists, and a 33.1% increase in capacity for reinforced joists with artificial defects. The average deflection at service loads was 19.5% lesser than the deflection of the control joists, and the apparent stiffness was determined to increase by 50.0%. The results from this research support the conclusion that the steel reinforcement system for dimensional wood joists is a viable alternative to traditional systems that effectively increases the load-carrying capacity, stiffness, and ductility of the structure.

Strength performance of deep beam with embedded side plates as shear reinforcement: A numerical analysis

The major design criteria in deep beam is shear failure, as it is brittle in nature and causes sudden damage or collapse. Hence, research had investigated the effect of their shear strengthening method on the load carrying capacity of deep beam. This study proposed a method which replace the shear link with mild steel plate as an alternative shear reinforcement that reduce steel congestion in deep beam. Three numerical specimens were modelled using ABAQUS. The specimens were simply supported at both end and two-point loads were gradually acting on the specimens in the mode of monotonic loading condition. The results obtained from the numerical control specimen was validated with the experimental results done by other researchers. The numerical results show that the load bearing capacity of proposed deep beams were lower than the conventional specimen. The mild steel plates in proposed beams demonstrated tendency of side concrete cover separation from the main concrete body. Hence, it caused delamination of concrete leading to lower load carrying capacity.

Anterior Skull Base Analysis from Coronal and Reconstructed Computed Tomography: Radio-Anatomical Study

Endoscopic sinus and skull base Surgery has gained significant improvement widely all over the world. A computerized tomography (CT) scan provides a detailed anatomy of the skull base especially the bone framework. This study aims to analyze the fixed anatomical bony landmarks of the anterior skull base through coronal and reconstructed CT in the context of the Nepalese population and guide the surgeon to perform endoscopic sinus and skull base surgery safely. This Prospective study includes 70 Computerized Tomography scans of Paranasal sinuses. The different measurement from nasal floor to skull base was taken in coronal and reformatted sagittal CT scan. Mean, standard deviation, minimum and maximum values were analyzed using descriptive statistics. Student T-test was applied to compare between right and left side. This study includes 75 patients between 18 to 77 years. The measurement from nasal floor to the cribriform plate and ethmoidal roof in right and left side were, mean± SD (47± 4.1, 45.3±4.3, 47.9±5.1, and 49±8.5 mm) respectively. Mean Take off angle at the cribriform plate was 43.9 ±10.9°on right side and 43 ± 9.4° on the left side. The distance from the nasal spine to the skull base (mean ± SD) at nasofrontal recess, bulla ethmoidalis, and the junction of sphenoethmoid levels at right sides were 51.5 ± 4.7, 52.9 ± 4.1, and 61.2 ±4.7 little higher at left side. This study provides a detailed analysis of the anterior skull base in coronal and sagittal CT scans which helps to reduces complications.

Ophiolites and ocean plate stratigraphy (OPS) preserved across the Central Mongolian Microcontinent: A new mega-archive of data for the tectonic evolution of the Paleo-Asian Ocean

Following the breakup of Rodinia and the opening of the Paleo-Asian ocean the relative positions of geological units (now in Mongolia) remain uncertain, and in consequence relevant paleogeographic reconstructions are poorly construed. In this paper, we apply an integrated approach to the reconstruction of the Paleo-Asian ocean using preserved ophiolites and ocean plate stratigraphy (OPS) in the Mongolian Lake and Altay zones in western Mongolia, which surround the Precambrian Central Mongolian Microcontinent (CMM) in the center of Central Asia.The Lake Zone of Mongolia contains many sediments of Ocean Plate Stratigraphy (OPS) and their underlying basalt-dominated ophiolites, which occur in three main zones along the western margin of the Precambrian crystalline basement of the CMM. The ophiolites in all zones have similar isotopic ages of ca. 570 Ma. The sections of OPS, together with serpentinite mélanges and other volcanogenic-sedimentary assemblages, have been thrust in nappe sheets over the Zavkhan block of the CMM.In the Neoproterozoic microcontinents derived from Rodinia drifted towards Siberia, and a passive margin developed on the Zavkhan block on the eastern margin of the Paleo-Asian ocean. In mid-upper Neoproterozoic times the eastern side of the Paleo-Asian oceanic plate was thrust over the CMM, and in the early Cambrian the Khasagt and Tas Khairkhan ophiolites were obducted and a mid-ocean ridge (?) reached the CMM, preventing further obduction. In the Neoproterozoic the western margin of the Paleo-Asian ocean was subducted under the Rodinia-derived microcontinent and evolved into an active continental margin. In mid-Cambrian–early Ordovician times thick turbidites were deposited in the Altay. Marine sediments, which had accumulated in the Devonian to Carboniferous in the Paleo-Asian ocean are preserved in a remnant ocean in the Lake Zone. Locally in the Devonian, terrigenous – volcanogenic sequences were deposited in the Ulgey extensional superimposed basin, and later in Meso-Cenozoic time (?) some ophiolitic and OPS fragments (Tsagaan Nuur, Ulaankhus and Bodonch) were exposed along fault escarpments that were possibly re-activated during transpression related to the India-Eurasia collision.Our analysis of the Neoproterozoic–Middle Paleozoic tectonic development of western Mongolia leads to a new holistic model for the evolution of the western Altaids, according to which the ophiolites and OPS formed in the Mongolian Lake and Altay zones between two microcontinents within a new tectonic framework of the western Altaids.

Vibrations of a Cantilevered Thick Plate

It has been for the first time that an analytical solution to the problem of free vibrations of a cantilevered thick orthotropic plate is presented. This problem is quite cumbersome for using the exact methods of the theory of elasticity; therefore, methods based on the variational approach were developed to solve it. The paper suggests using the superposition method to construct a general solution of the vibration equations of a plate in the series form of particular solutions obtained with the help of a variables separation. The particular solutions of one of the coordinates are built in the form of trigonometric functions of a special type (modified trigonometric system). The constructed solution, in contrast to the solutions known in the literature on the basis of the variational approach, accurately satisfies the equations of vibrations. The use of a modified trigonometric system of functions makes it possible to obtain uniform formulas for even and odd vibration shapes and to reduce the quantity of boundary conditions on the plate sides from twelve to nine ones, while five of the nine boundary conditions are also accurately satisfied. The structure of the presented solution on the plate boundary is such that, each of the kinematic or force characteristics of the plate is represented as a sum of two series, i.e. a trigonometric series and a series in hyperbolic functions. Remaining boundary conditions make it possible to obtain an infinite system of linear algebraic equations with respect to the unknown coefficients of the series representing the solution. The convergence of the solution by the reduction method of the infinite system is investigated numerically. Examples of the numerical implementation are given; numerical studies of the spectrum of natural frequencies of the cantilevered thick plate were carried out based on the obtained solution, both with varying elastic characteristics of the material and with varying geometric parameters.