Bending Characteristics Research Articles

Three-dimensional bending and free vibration analyses of laminated cylindrical panel with/without elastic foundation using two-dimensional discrete method

In this paper, a novel isogeometric scaled boundary finite element method (IGSBFEM) is developed to provide a comprehensive investigation into bending and free vibration of laminated cylindrical panels resting on Pasternak foundation. The significant novelty of this method lies in that the proposed formulation is derived based on the three-dimensional (3D) theory of elasticity, while only two-dimensional (2D) reference surface associated with the curvilinear coordinate system needs to be discretized by using isogeometric elements constructed with the non-uniform rational B-splines (NURBS) basis functions, which allows to reduce the computation cost and maintain the exact geometry of problem with desired precision flexibly. The SBFEM governing equation of each single lamina is reduced to a matrix form of first-order ordinary differential equations by introducing a vector of dual variables made of nodal displacements and forces, and the solution can be expressed analytically in terms of the radial coordinate. Therefore, shear locking phenomenon can be overcome naturally without any shear correction factors or reduced integration. The global solving equations of laminated cylindrical panels resting on Pasternak foundation are assembled with a layer-wise method. In addition, the high-order continuous features of isogeometric elements are insensitive to distorted mesh. Therefore, it is compatible with the research of complex geometrical structures with holes. The superior performances of the current approach are testified in the analyses of cylindrical panels with or without elastic foundation, solutions obtained by many other researchers are used for comparison purpose, and effects of several parameters including length and thickness, fiber orientation, stacking sequence and foundation stiffnesses coefficient on the bending or free vibration characteristics are also discussed.

Experimental and numerical studies on bending characteristics of woven CFRP reinforced aluminum thin-walled automotive structures

Metal/composite hybrid thin-walled structure is the most preferential approach to achieve dual contradictive objectives of high crashworthiness and lightweight of auto body. Its collapse with regard to different fiber layup patterns is one of the governing mechanisms of energy dissipation, which is yet to be explored. Especially, the effect of different fiber layup angles and layup sequences on bending collapse, which is one of the most significant performance indicators, has received little attention. To this gap, this study investigates experimentally and numerically the bending characteristics of aluminum/carbon fiber reinforced plastic (Al/CFRP) hybrid structures with different layup angles and layup sequences. To start with, three-point bending tests are carried out on specimens to derive the bending failure behavior and crashworthiness, and the internal section damage is observed by CT scan. Finite element model is then constructed and benchmarked against the test results to be proficient. On this basis, the effects of Al thickness, number of CFRP layers and CFRP wrapping range on the bending performance of hybrid tube are analyzed numerically. The simulation results show that layup angle has greater effect on the bending performance than layup sequence. Increasing Al thickness and the number of CFRP layers can effectively improve the bending resistance of structure, and appropriate partial wrapping of CFRP can increase the specific energy absorption (SEA) by 10.92% compared with that of complete wrapping. The revelation from this study provides sound reference for the crashworthiness design of metal/composite hybrid thin-walled structure.

Variation of antlers in individual red deer (Cervus elaphus) stags: repeatability, age and side effects

Antlers are formed anew each year to realise an optimal relationship between their size and weight and the physical body condition in Cervidae. This results in the objective to match fighting abilities with size and mechanical performance of the antlers, as well as to advertise these correlated abilities to other males and females. The resulting variation in individual antler characteristics from year to year can show considerable differences. To characterise and understand these differences is important in hunting, game management and deer breeding, as well as potentially to assess the habitat quality. However, relatively few traits of the antler have been scientifically tested for this purpose, and only a few studies were conducted on the same individual in free-ranging red deer over the years. The objective of the present study was to quantify the influence of the individual (repeatability), the age and the site on the expression of 125 antler characteristics. For this purpose, we collected 35 stags with an average of about 10 consecutive antlers per individual (confirmed by genetic analysis), a total of 355 antlers. The antlers were scanned 3-dimensionally and measured semi-automatically. Numbers, lengths, distances, circumferences, bending, curvatures, angles, forms and CIC (International Council for Game and Wildlife Conservation) characteristics were compiled and evaluated in a generalised linear mixed model adapted to the distribution of the characteristics. The complete model explained 1.6 to 83% of character variation. Mean repeatability of the characteristics varied between 2.7 and 74.4%. The stags’ age explained 0 to 36.4%, and the side explained 0 to 2.5% of the variability. Some characteristics of burr, signet, beam and the lower tines reached the highest repeatability; the highest variability was found in characteristics of the crown. Values of 11 features that are frequently used in other studies corresponded very well with the present study. However, some features reached higher repeatability every year, whereas others varied more closely with age. Such characteristics might be selectively included into further research or practical applications to increase informative value.

Key Design Parameters Analysis and Calculation Theory Research on Bending Performance of Steel–UHPC Lightweight Composite Deck Structure

This paper aims to study the influence of key design parameters (e.g., reinforcement ratio, cover thickness, stud spacing, and thickness of the ultra-high-performance concrete (UHPC) layer) on the longitudinal and transverse bending performance, as well as the cracking load and ultimate bearing capacity calculation theory of steel–UHPC lightweight composite deck (LWCD) structure. Four transverse bending tests and four longitudinal bending tests on steel–UHPC composite plates and steel–UHPC composite beams were conducted, respectively. The refined finite element models of components with different key design parameters based on ABAQUS were established. The influences of different key design parameters on the transverse and longitudinal flexural behaviors (e.g., load-mid-span displacement curve, cracking stress, stiffness, elastic limit load, critical slip load, ultimate bearing capacity and ductility) were compared and analyzed in detail. The ultimate bearing capacity can be improved by increasing the thickness of UHPC layer and the reinforcement ratio of longitudinal reinforcement, and reducing the cover thickness and the spacing of studs. According to the longitudinal bending characteristics of the steel–UHPC lightweight composite deck structure, the calculation formulas for the cracking load and the ultimate bearing capacity of the steel–UHPC composite beam are proposed, and the calculated values are in good agreement with test results (the errors are basically within 10%), which is convenient for practical engineering applications.

Dynamic vibration analysis of double-layer auxetic FGP sandwich plates under blast loads using improved first-order shear plate theory

In this study, the characteristics of static bending and free and forced vibration of double-layer auxetic functionally graded porous (FGP) sandwich plates with shear connectors under blast load are explored comprehensively, where the structure of the plate comprises two layers joined by shear connectors. Each layer comprises auxetic FGM sandwich material, containing a core component made of auxetic honeycomb with a negative Poisson's ratio, while the upper and bottom two components are made from FGP materials. The whole plate is supported by a two-parameter Winkler-Pasternak elastic foundation. The key innovation of the proposed theory is that the transverse shear stresses are zero at the two free surfaces of each layer. In contrast to previous first-order shear deformation theories, no shear correction factor is required. To solve the plate issue when the boundary condition was entirely supported, Navier's exact solution was devised. On the other hand, in order to address the plate behavior in the event that the boundary condition was altered in any way, a plate element with nine nodes was used. Besides, to determine whether or not these results are accurate, a complete comparison approach that makes use of reliable claims has been used. The problem model's special case situations are used in order to accomplish this goal. When the object being developed is exposed to explosive loads, the findings that were derived from this research have the potential to be used to the construction of both military and civil works.

Flexural properties of a MgB2 thin-film wire

Aiming to understand the bending characteristics of a MgB2 thin-film wire and utilize the wire in the design of superconducting magnets, we examined the degradation of critical current density J c due to bending. Six short MgB2 thin-film wires with a thickness of 1 μm were prepared under the same deposition conditions. They were bent in different radii, and their J c were compared. The allowable bending radius at which J c does not degrade was 25.0 mm. As for MgB2 thin-film wires, thickening the film effectively increases the engineering critical current density J e. On the basis of material mechanics, the allowable bending radius was estimated to be 25.5 mm when the film thickness increased to 10 μm. The allowable bending radius of the MgB2 thin-film wire is sufficiently smaller than the radius of a typical superconducting coil, so it is not considered to be a barrier to fabricating a coil with the wire.

Flexural Behavior of Graphite Tailings RC Beams in Chloride Environment

This paper investigates the mechanical properties of graphite tailings concrete beams under various curing environments. The results show that the concentration of graphite tailings has an important influence on the mechanical properties of concrete. Finally, the bending characteristics of the beam and the modified bearing capacity calculation formula are obtained, which provides a theoretical basis and the reference value for the construction of green building materials. Through research, the main innovations and main findings of this paper are as follows: (1) In the three kinds of concrete experimental environment, the fracture load and ultimate load of concrete beams with graphite tailings replacement rate of 20% are the largest. (2) In the three kinds of concrete test environment, when the concrete test beams under the same load, with the increase of graphite tailings replacement rate, the mid-span deflection of concrete beams showed a trend of decreasing first and then increasing. When the replacement rate of graphite tailings sand is 20%, the mid-span deflection of the test beam is the smallest. (3) Through experiments, it is found that the normal section bearing capacity of graphite tailings concrete beams after chloride salt erosion conforms to the plane section assumption. After chlorine salt erosion, the strain of the longitudinal tensile steel bar of concrete beams with different graphite tailings sand replacement rates is the same as that of ordinary concrete beams, and the slope of the strain curve is the same, showing a linear trend. The experimental results show that the replacement rate of graphite tailings sand has an insignificant effect on the strain of steel bars. (4) The Gauss function is used to fit the experimental value of normal section bearing capacity of concrete beam, and the calculation formula of normal section ultimate bearing capacity of graphite tailings sand concrete beam under chloride environment is established. The research results of this paper have significant reference value for the study of mechanical properties of graphite tailings sand concrete components.

Experimental Study on the Ferrocement Panels

Abstract: An improved qualitative arrangement of wire mesh which is thought to reflect more realistically the behavior of ferrocement in flexure is arranged. The presence of wire mesh reinforcement in ferrocement improves bending strength and crack resistance. The objective of the study is to investigate the behavior of material reinforced with varying mesh layers and orientations and to evelove its material properties. Tension tests were also carried out on meshes. Bending tests is to be conducted for specimen under two point loading. The effects of the varying reinforcement arrangements would replicates its response on strength and bending characteristics of ferrocement characteristics under tension and simple bending which to be studied experimentally, and those results also will be discussed in the paper

3D printing-assisted and magnetically-actuated superhydrophobic surfaces for droplet control

This paper presents a novel fabrication method for magnetically controllable micro-patterned wall arrays (MCMAs) for manipulating droplets. The MCMA films exhibited superhydrophobic properties (contact angle of 153.7°) without additional post-treatment using the microstructure of the surface, which is a characteristic of fused-filament-fabrication-type additive manufacturing. To operate the MCMA films, the bending characteristics due to the magnetic force were analyzed, and the droplet transport pattern was verified under various conditions (e.g., structure height and droplet size). The droplet was rapidly manipulated on the MCMA films by using a magnet moved at a speed of 7.5 mm/s. The droplet showed a three-step transport pattern of backward movement, forward movement, and detachment depending on the relative position between the droplet and the magnet. A film composed of MCMAs with a high aspect ratio produced a continuous concave surface shape when driven by a magnetic force. The concave surfaces played an important role in the stable transport of droplets. MCMA films are expected to be applied in various scientific and industrial fields where droplet transport, mixing, and collection are used with careful droplet controlling is needed.

Effect of material distribution on bending and buckling response of a bidirectional FG beam exposed to a combined transverses and variable axially loads

This article considers a bidirectional functionally graded (BDFG) beam with various distributions of volume fraction. The impact of these distributions on the buckling and bending response of BDFG beam with general boundary conditions is investigated via a quasi-3D solution. It is assumed that the beam is exposed to a set of in-plane varying compressive loads and there mechanical characteristics change in both directions. Also, the BDFG beam is considered to be exposed different external mechanical loads. Hamilton’s principle is employed to derive the governing equations, which are then solved using analytical solution to obtain buckling and bending characteristics. The precision of the current formulation is investigated via a comparison with available data in literature. Some numerical results are presented and discussed to assess the effect of different parameters such type of volume fraction, boundary condition, varying load, and beam geometry on the buckling and bending of BDFG beam.

EDF laser displacement sensor based on bending characteristics of polarization-independent double-pass cascaded-chirped long-period fiber grating

In this study, we propose an Erbium-doped fiber (EDF) laser displacement sensor using bending characteristics of a cascaded-chirped long-period fiber grating (C-CLPG), in which the C-CLPG assisted by a Faraday rotator mirror (FRM), namely double-pass C-CLPG, shows a channeled spectrum and plays both the roles of wavelength tunable filter and sensor element. In the sensing scheme, the spectral shift of the channeled spectrum due to the displacement-induced bending deformation is utilized. Due to the FRM reflection, the double-pass C-CLPG has characteristics suitable for sensing: the polarization-independent channeled spectrum and the compensation effect for polarization variation in the sensor section. In the experiment, it is successfully demonstrated that the EDF laser in a sigma-type cavity configuration (EDFσL) using the double-pass C-CLPG enables precise displacement measurement based on the oscillation wavelength shift corresponding to the spectral shift of the double-pass C-CLPG. Further, the advantage of this EDFσL is confirmed by comparison with the conventional EDF ring laser using the single-pass C-CLPG.

Stiffness and geometry characteristics of flange connection with bolt failure and its influence on rotor dynamics

Flange connection is widely used in aero-engine rotor system. The state of bolt is very important to the stable operation of the rotor, but the impact of bolt failure on the dynamic characteristics of the rotor system is not clear. Thus, the stiffness and geometry characteristics of flange connection with bolts failure and its influence on rotor dynamic response are studied. Firstly, a three-dimensional solid finite element model considering contact characteristics and a stiffness test device for flange connection with spigot are established. The stiffness characteristics and axis bending characteristics of flange connection after bolt failure are obtained by numerical simulation and experiment test. Secondly, the motion equation of the rotor with the characteristics of local stiffness asymmetric and initial bending result from bolt failure of the flange connection is established by a novel modeling method, and the dynamic response characteristics of the rotor are studied; Finally, a rotor test bench with flange connection is established to test the dynamics of the rotor when bolts fail, and its frequency spectrum and orbit characteristics are analyzed. The research results can provide a theoretical basis for simulation and identification of the bolt failure in rotating machinery system.

Three-point bending characteristics of all-composite sandwich panels with different core configurations

With cores of the hexagonal honeycomb (HH), staggered corrugated lattice (SCL), bidirectional corrugated lattice (BCL), reinforced hexagonal honeycomb (RHH), and reinforced staggered corrugated lattice (RSCL) made by cutting, bonding, arranging and weaving the trapezoidal corrugation (TC) formed by mold hot pressing, six types of composite sandwich panels of the same macro size were proposed. The failure processes of the six sandwich panels in three-point bending experiments were compared and analyzed, and the effects of core configuration and reinforced stiffener on the bending response were evaluated. A general analytical model was established to predict the bending stiffness and failure mode of six sandwich panels, which was also visually presented by a three-dimensional numerical model. The numerical and experimental results validated the effectiveness of the analytical model. The effects of ply parameters and corrugated sizes on bending responses were studied by a combing application of experiment, analytical and numerical models. The three-dimensional failure mechanism maps were displayed to evaluate the failure mode and failure load. The longitudinal discontinuity of the bonding zone of the core could significantly weaken the bending performance and bonding strength of BCL, SCL, RSCL, and HH. The peak load of SCL and HH was enhanced by 45.97% and 60.29%, respectively, by setting stiffeners. Both RHH and TC could achieve bending stiffness of more than 3.5 kN·mm−1, while the failure load of the latter could be up to 25 kN. The design parameter space of bending stiffness, failure load with respect to ply orientation angle, core wall thickness, corrugated web angle, and horizontal segment length was provided intuitively.

Stress Analysis of Transversely Loaded Isotropic Three-Dimensional Plates Using a Polynomial Shear Deformation Theory

An exact solution for the bending attributes of a thick rectangular plate under transverse loading is modeled herein using three-dimensional (3-D) elasticity plate theory and fourth-order polynomial shear deformation function. Precluding coefficients of shear correction, this model captured the effect of shear deformation along with the transverse normal strain stress. The expression for total potential energy was derived from a 3-D kinematic and constitutive relation the equilibrium equation was developed and employed from the energy functional transformation to get the relationship between slope and deflection. Exact polynomial functions were obtained from the outcome of the equilibrium equation and with the aid of the direct variation approach, the coefficient of deflection of the plate was generated from the governing equation. The expression for computing the displacement, bending moments, and stress components along the three axes of the plate was established from these solutions for the assessment of the bending characteristics of a rectangular plate. The result of a simply supported at one edge, free at one edge and clamped at the two outer edges (SCFC) was evaluated using the obtained functions in this study. The report of this study confirms the exactness and consistency of the 3-D model unlike the refined plate theories applied by previous authors in the available literature. The value of 8.05% is the comprehensive average percentage variation of the values for center deflection obtained by Onyeka and Okeke (2020) and Gwarah (2019). It is established that at the 92 % confidence level, this model is worthy of adoption for safe, cost-effective and accurate bending analysis of thick plates of any support condition.

Flexible Substrate‐Structured Sb2S3 Solar Cells with Back Interface Selenization

AbstractAntimony sulfide (Sb2S3) with a 1D molecular structure has strong bending characteristics, showing great application potential in flexible devices. Herein, the flexible substrate‐structured Sb2S3 solar cells is developed and improve device performances by the back interface selenization. The high‐quality Sb2S3 film with an optimal thickness of 1.8 µm, ensuring efficient spectra utilization, is deposited on flexible Mo foils by the rapid thermal evaporation technique. To solve the issues of back interfacial recombination and charge transport, the 20 nm MoSe2 layer between Sb2S3 film and Mo foil is fabricated by substrate selenization in the tube furnace. Further investigations indicate that the MoSe2 layer improves the interfacial energy band alignments and induces the [hk1] orientation of Sb2S3 film, thereby passivating defects and enhancing the carrier transport capacity. The flexible solar cell in the structure of Mo foil/MoSe2/Sb2S3/CdS/ITO/Ag, exhibiting good flexibility to stand thousands of bending, achieves an efficiency of 3.75%, which is the highest for Sb2S3 devices in substrate configuration. The presented flexible structure and back interfacial selenization study will provide new prospects for inorganic Sb2S3 thin film solar cells.

Research on Bending Characteristics of Hollow-Core Micro-Structured Fibers for Development of Fiber Optic Gyroscopes

Research on Bending Characteristics of Hollow-Core Micro-Structured Fibers for Development of Fiber Optic Gyroscopes

Effect of Primary Spruce Lamella Aging on the Bending Characteristics of Glulam Beams

Glued laminated (glulam) beams are used in the roofs, ceilings and walls of buildings as well as in bridges and towers. At present, with the limitation of tree harvesting, the production of glulam beams from recycled wood sources is implemented with the proviso that their mechanical properties and resistance to pests, fire and weathering will not be aggravated. This work deals with the primary effect of aging Norway spruce wood (Picea abies Karst. L.) lamellas on the moduli of rupture (MOR) and elasticity (MOE) in bending of three-layer glulam beams composed of sound and aged lamellas and polyurethane (PUR) glue. Three methods of lamella aging were used: (A) natural, lasting 60 years in the form of roof trusses with a greater or lesser degree of bio-attack by woodworm (Anobium punctatum De Geer); (B) artificial, caused by increased temperatures from 160 to 220 °C for 4 h; (C) artificial, caused by 2% water solutions of inorganic preservatives, namely, CuSO4 × 5H2O, ZnCl2, H3BO3 or (NH4)2SO4, for 28 days. The lowest MOR values were determined for glulam beams in which all three lamellas or two surface lamellas had a greater degree of bio-attack (60.5 MPa, a decrease of 25.9%) or were exposed to primary aging at 220 °C (62.6 MPa, a decrease of 23.3%). On the contrary, the exposure of lamellas to 160 or 180 °C did not significantly influence the MOR of beams (76.0–82.7 MPa, an average decrease of 1.6%). The MOE of glulam beams ranged from 7540 to 10,432 MPa without an obvious influence of the method of lamella aging or their location in the beams. Linear correlations between the MOR or MOE of glulam beams and the shear strength (σ) of glued joints, if both composite types consisted of similarly aged lamellas, were only slightly significant or insignificant.

The effect of grip location on Kirschner wire bend characteristics: An in vitro study.

To determine the effect of Kirschner wire (K-wire) grip location on bend angle, bend radius, and torque when performing a Z-bend technique. Experimental study. Ten samples at each of five grip locations for each of three K-wire diameters. K-wires of three diameters (0.9, 1.1, 1.6 mm) were drilled into PVC pipe, and a Jacob's chuck was used to bend the wires at five periodic grip locations (distance from the bone model). Torque, bend angle, and bend radius were determined for each sample. Outcome variables were statistically analyzed by grip location to determine significant relationships. A grip location of 2.0cm in the 0.9 mm K-wire group minimized bend angle (mean ± SD: 75.92° ± 0.81) and bend radius (2.89 mm ± 0.08). A grip location of 3.0cm in the 1.1 mm K-wire group minimized bend angle (72.88° ± 0.98) and bend radius (2.47 mm ± 0.20). A grip location of 3.0cm minimized bend angle (74.38° ± 1.93) and bend radius (2.71 mm ± 0.27) in the 1.6 mm K-wire group. Torque at these grip locations for the 0.9, 1.1, and 1.6 mm K-wires was 6.50 N-m ± 0.0, 11.00 N-m ± 0.0, and 19.05 N-m ± 0.16, respectively. Bend angle and bend radius can be minimized by bending K-wires at specific grip locations, though torque is not minimized at these locations. Clinical significance These findings provide an evidence-based recommendation of where surgeons should grip K-wires when bending them.

A Rigid and Flexible Combined Finger Exoskeleton Design with Variable Curvature

Some hand exoskeletons have been used in the rehabilitation treatment of paralyzed patients caused by stroke and cerebral apoplexy as a result of research into hand exoskeletons. However, how to make the patient more comfortable to use and how to make the exoskeleton more precise are still key issues that need to be studied. Aiming at the motion law and skeletal characteristics of the human hand, this paper proposes a soft exoskeleton machine for hand rehabilitation training that combines rigidity and flexibility. Using a simplified two-layer sliding spring mechanism, the device combines the comfort and fit of a flexible device with the accurate kinematics of a rigid device. The mechanism requires only one degree of freedom to drive the normal flexion and expansion of the three finger joints. By changing the section thickness of the spring sheet to change its section moment of inertia, the bending effect of the mechanism is optimized to better fit the bending characteristics of the finger joints. To simplify the simulation of the mechanism, the method of the pseudo-rigid-body model is used to target the spring leaf’s nonlinear deformation, to achieve intuitively understandable kinematics. Finally, the accuracy of the design is demonstrated through simulation and prototype models.

Influence of structural parameters of unbonded flexible pipes on bending performance

Unbonded flexible pipes have complex structural forms and numerous structural parameters. There are different degrees of contact and slip between the structural layers under bending loads, which brings challenges to the structural design and bending characteristics analysis of flexible pipes. In this paper, according to the law of energy conservation and deformation geometry theory, the mechanical equilibrium equation of each layer of unbonded flexible riser under bending load is established and the contact condition between layers is introduced in the first step. According to the slip state of the spiral strip, the response of the flexible riser under bending load was divided into three stages: no slip, partial slip and complete slip. The expressions of bending moment and bending stiffness were derived. The influence of structural parameters of tensile armor layer of unbonded flexible pipes on its bending performance under bending load is studied by using MATLAB software to compile the corresponding calculation program. The results show that the increase of friction coefficient between layers of tensile armor will improve the bending resistance of flexible pipes. The increase of helix angle will reduce the bending stiffness of flexible pipes in the initial stage. The increase of the number of spiral strips will increase the bending stiffness of flexible pipes in the initial stage. In the process of structural design of flexible pipes, the influence of the above structural parameters on the bending characteristics of flexible pipes should be taken into account.