Effect of Non-Homogeneity on Thermally Induced Vibration of Orthotropic Visco-Elastic Rectangular Plate of Linearly Varying Thickness

The analysis presented here is to study the effect of non-homogeneity on thermally induced vibration of orthotropic visco-elastic rectangular plate of linearly varying thickness. Thermal vibrational behavior of non-homogeneous rectangular plates of variable thickness having clamped boundary conditions on all the four edges is studied. For non–homogeneity of the plate material, density is assumed to vary linearly in one direction. Using the method of separation of variables, the governing differential equation is solved. An approximate but quite convenient frequency equation is derived by using Rayleigh-Ritz technique with a two-term deflection function. Time period and deflection at different points for the first two modes of vibration are calculated for various values of temperature gradients, non- homogeneity constant, taper constant and aspect ratio. Comparison studies have been carried out with non-homogeneous visco-elastic rectangular plate to establish the accuracy and versatility.

Thermal Effect on Free Vibration of Non-Homogeneous Orthotropic Visco-Elastic Rectangular Plate of Parabolically Varying Thickness

A simple model presented here is to study the thermal effect on vibration of non-homogeneous orthotropic visco-elastic rectangular plate of parabolically varying thickness having clamped boundary conditions on all the four edges. For non-homogeneity of the plate material, density is assumed to vary linearly in one direction. Using the separation of variables method, the governing differential equation has been solved for vibration of non-homogeneous orthotropic viscoelastic rectangular plate. An approximate frequency equation is derived by using Rayleigh-Ritz technique with a two-term deflection function. Results are calculated for time period and deflection at different points, for the first two modes of vibration, for various values of temperature gradients, non-homogeneity constant, taper constant and aspect ratio and shown by graphs.

Study the Effect of Thermal Gradient on Transverse Vibration of Non-Homogeneous Orthotropic Trapezoidal Plate of Parabolically Varying Thickness

The present paper deals with the effect of linearly temperature on transverse vibration of non-homogeneous orthotropic trapezoidal plate of parabolically varying thickness. The deflection function is defined by the product of the equations of the prescribed continuous piecewise boundary shape. The non homogeneity of the plate is characterized by taking linear variation of the Young's modulus and parabolically variation of the density of the material. The non homogeneity is assumed to arise due to the variation in the density of the plate material and it is taken as parabolically. Rayleigh Ritz method is used to evaluate the fundamental frequencies. The equations of motion, governing the transverse vibrations of orthotropic trapezoidal plates, are derived with boundary condition clamped-simply supported-clamped-simply supported. Frequencies corresponding to first two modes of vibration are calculated for the trapezoidal plate for various combinations of the parameters of the non-homogeneity, thermal gradient, taper constant and for different values of the aspect ratios and shown by figures. All The results presented here are entirely new and are not found elsewhere. Comparison can only be made for homogeneous plates, and in that cases the results have been compared with those found in the existing literatures and are in excellent agreement.

Study of Thermally Induced Vibration of Non-Homogeneous Trapezoidal Plate with Parabolically Thickness Variation in Both Directions

The present analysis demonstrates the thermal effect on vibrations of a symmetric, non-homoge- neous trapezoidal plate with parabolically varying thickness in both directions. The variation in Young’s modulus and mass density is the main cause for the occurrence of non-homogeneity in plate’s material. In this consideration, density varies linearly in one direction. The governing differential equations have been derived by Rayleigh-Ritz method in order to attain fundamental frequencies. With C-S-C-S boundary condition, a two term deflection function has been considered. The effect of structural parameters such as taper constants, thermal gradient, aspect ratio and non-homogeneity constant has been investigated for first two modes of vibration. The obtained numerical results have been presented in tabular and graphical form.

Study of Temperature Behaviour on Thermally Induced Vibration of Non-Homogeneous Trapezoidal Plate with Bi-Linearly Varying Thickness

The main aim of the present work is to study the linear temperature behaviour of a non-homogeneous trapezoidal plate whose thickness varies linearly in both directions. The temperature behaviour considered linear along the length of the plate. Non-homogeneity in plate arises due to variation in density along the length of the plate. The two-term deflection function with clamped-simply supported-clamped-simply supported boundary condition is taken into consideration. The effect of structural parameters such as taper constants, thermal gradient, non-homogeneity constant and aspect ratio has been studied. Rayleigh-Ritz method is used to solve the governing differential equations and to obtain the fundamental frequencies for the first two modes of vibration. Results are presented in graphical form.

Effect of Foundation and Non-Homogeneity on the Vibrations of Polar Orthotropic Parabolically Tapered Circular Plates

The effect of Pasternak foundation and non-homogenity on the axisymmetric vibrations of polar orthotropic parabolically varying tapered circular plates has been analyzed on the basis of classical plate theory. Ritz method has been used to find the numerical solution of the specified problem. The efficiency of the Ritz method depends on the choice of basis function based upon deflection of polar orthotropic plates. The effects of different plate parameters viz. elastic foundation, non-homogeneity, taper parameter and that of orthotropy on fundamental, second and third mode of vibration have been studied for clamped and simply-supported boundary conditions. Mode shapes for specified plates have been drawn for both the boundary conditions. Convergence and comparison studies have been carried out for specified plates.

装配式冷弯厚壁型钢半刚性梁-柱节点抗震性能试验研究

冷弯型钢在装配式结构中应用具有天然的优势,为了扩展冷弯厚壁型钢结构的使用范围,克服冷弯厚壁钢的缺点,设计6个新型分层装配式“十字型”梁-柱节点,进行循环加载试验,对梁-柱节点的破坏模式、初始刚度、骨架曲线、等效黏滞阻尼系数、能量耗散系数、割线刚度、滞回曲线和关键部位应变分布进行研究,主要得到以下结论:通过螺栓和节点板的滑移,半刚性节点具有一定的耗能能力。增设高强螺栓可以提高梁柱节点的承载力,初始刚度和耗能能力也得到提高,避免梁端与连接板孔壁承压。增加可更换节点翼缘板,对梁-柱节点的破坏模式没有明显影响,承载能力、耗能能力、初始刚度分别得到较大提高。

聚能射流侵彻有限厚钢靶后效参数的特性

为研究聚能射流对有限厚钢靶的侵彻后效参数特性,开展了小口径聚能装药射流成型及侵彻带有靶后效应物的有限厚靶板实验,利用ANSYS/LS⁃DYNA有限元软件进行了聚能射流侵彻有限厚靶板作用过程数值模拟计算,分析了靶板厚度、炸高及靶后效应物密度对聚能射流侵彻后效参数的影响,包括剩余射流头部直径d、头部速度v及后效引爆炸药能力参数v^(2)d。研究结果表明:随着靶厚的增加,后效引爆威力v^(2)d呈现线性衰减趋势,厚度每增加20 mm约损失初始引爆威力参数的16%;在聚能射流保持连续的炸高范围内,随着炸高的增加,后效引爆威力参数v^(2)d呈现先增大后减小的趋势,其驻点出现于炸高为8倍聚能装药口径处;在常见的炸药密度范围内,随着靶后效应物密度ρ的增大,引爆威力参数v^(2)d衰减速率呈现先减小后增大的趋势;在相同时刻下,v^(2)d⁃ρ曲线存在一个驻点,v^(2)d最大值分布于ρ=1.6~1.8 g·cm^(-3),且驻点位置随侵彻时间增大而右移。

综采工作面顶板定向水力压裂技术应用

为解决主采煤层存在巨厚坚硬顶板,造成初次来压期间矿压显现严重,工作面局部支架压死的难题,对3104工作面地质条件进行分析,对目标层位实施定向水力压裂措施,并对初次来压期间工作面矿压显现、支架工作阻力变化情况进行观测、分析和对比,确定其初次来压步距。观测结果表明:在开展顶板定向水力压裂措施后,3104工作面基本顶初次来压步距30.8 m,相比原始状态顶板,减少54.9%。实践证明:对于上覆厚层坚硬顶板,通过定向水力压裂措施对顶板进行压裂是有效可行的工作面初次放顶技术。

燕尾静压导轨初始油膜厚度对静动态性能的影响

燕尾静压导轨的工作性能与其选取的初始油膜厚度密切相关。通过对由PM流量控制器调控的燕尾静压导轨进行研究,分析并推导出初始油膜厚度与静压导轨静动性能之间的函数关系。结果表明:增大导轨底层大面和燕尾面初始油膜厚度,都可以提高导轨的承载能力,但提升幅度不大;降低导轨底层大面和燕尾面初始油膜厚度,均会增大低燕尾导轨的静、动态刚度,其中导轨底层大面初始油膜厚度的变化对静刚度影响更大,燕尾面初始油膜厚度的变化则对动刚度影响更大,在实际中应该根据所设计导轨工况选取合适的初始油膜厚度。

半穿甲弹引信自适应起爆方法

针对半穿甲弹引信采用固定延时起爆方式,炸点位置难以适应不同厚度目标,导致毁伤效果不佳的问题,提出一种半穿甲弹引信自适应起爆方法。该方法设计了一种用于引信自适应起爆的介质厚度识别开关,利用开关对不同厚度钢筋混凝土的闭合响应时间不同来区分目标厚度,结合控制起爆电路实现不同厚度目标自适应起爆。试验和仿真结果表明,该方法设计的介质厚度识别开关对于0.3~1.0 m的钢筋混凝土目标能够进行自适应起爆,炸点精度相比固定延时起爆方法有大幅提高。

楔形变壁厚排架柱设计研究

丽江三义机场T3航站楼屋盖采用排架结构体系,由楔形变壁厚排架柱支承。沿排架柱网布置立体桁架,在立体桁架间布置网架。结构竖向传力体系由网架、立体桁架与楔形变壁厚排架柱组成。现行规范中尚未明确楔形变壁厚排架柱的稳定承载力计算方法,设计中通常采用门式刚架的变截面柱计算公式进行计算长度法验算。基于直接分析法,对应排架柱构件不同失稳模态,分别采用了相应的初始构件缺陷分布,考虑了整体初始几何缺陷下结构的一阶弯矩方向,通过条件极值方法判断了构件初始缺陷的最不利方向,建立对应的分析流程,并与计算长度法结果进行对比。结果表明:楔形变壁厚排架柱构件初始缺陷采用一端约束、一端自由构件的失稳模态更加合理,计算长度法的冗余度及安全性均优于直接分析法。

两种不同工艺合成脲醛树脂胶黏剂在纤维板上的应用对比

探讨了两种工艺合成的改性脲醛树脂胶黏剂在高密度纤维板上的应用情况。在甲醛/(尿素+三聚氰胺)物质的量比及三聚氰胺添加质量比例相同的情况下,使用强酸起始工艺合成的改性脲醛树脂胶黏剂制备的高密度纤维板24h吸水厚度膨胀率较低,相较于传统合成工艺,其性能优势显著。

Influence of thickness and initial groove angle in M–K model on limit strain of 7B04 by considering through-thickness stress

Marciniack–Kuczinski(M–K)model is widely used to predict material's forming limit curve(FLC).The prediction of FLC traditionally neglected through-thickness normal stress.However,it cannot be neglected in some forming processes.Much work has been done to study the effect of through-thickness normal stress on FLC with constant through-thickness normal stress or constant ratio of through-thickness normal stress and maximum principal stress.In addition,based on Nakazima test process,the ratio of through-thickness normal stress and maximum principal stress has been derived,which was a function of instantaneous thickness and loading path.Here,initial groove angle in M–K model was not considered.In this paper,uniaxial tension tests and Nakazima tests were performed on 7B04 aluminum alloy.Based on Hill 48 yield criterion and M–K model,the prediction model of FLC was established.The increase of thickness can enhance FLC.Meanwhile,it is necessary to consider through-thickness normal stress and initial groove angle in prediction model.On the left side of FLC,the effect of initial groove angle on FLC is weakened by increasing sheet thickness.On the right side of FLC,the effect of initial groove angle on FLC is strengthened by increasing sheet thickness.On the right side of FLC,the relation between limit strain points with different thicknesses is linear under one certain loading path.Thickness has decisive effect on through-thickness normal stress level and the changing trendy of through-thickness normal stress during calculation is different under different stress condition.

Influence of aeration and initial water thickness on axial velocity attenuation of jet flows

With the development of ski-jump energy dissipation for high and large discharge among the hydraulic projects,the effects of characteristics of water flow on energy dissipation are increasingly important.In the present study,the effects of aeration and the initial water thickness on axial velocity attenuation of jet flow were analyzed,using variance analysis and numerical calculated methods.From the analysis of test data,both of the air concentration and initial water thickness are sensitive factors for the axial velocity attenuation of jet flow along the axial way,and there is no significant interaction effect between the aeration and initial water thickness.Aeration has a more significant effect on the axial velocity attenuation of jet flow.Decreasing the initial water thickness of jet flow can reduce the length of jet core,and make the initial position of axial velocity attenuation closer to the nozzle exit.The numerical calculation results show that aeration can contribute to the enhancement of entrainment ability of jet flow,which may improve the interaction between jet flow and surroundings.For ski-jump energy dissipation among the hydraulic projects,combining aeration with decreasing initial water thickness of jet flow is an effective way to enhance the rate of axial velocity attenuation.

THRESHOLD RESULT FOR SEMILINEAR PARABOLIC EQUATIONS WITH INDEFINITE NON-HOMOGENEOUS TERM

In this paper, we study the threshold result for the initial boundary value problem of non-homogeneous semilinear parabolic equations {μt-△μ=g（μ）＋λf（x）,（x,t）∈Ω×（0,T）,μ=0,（x,t）∈ Ω×[0,T）,μ（x,0）=μ0（x）≥0,x∈Ω.By combining a priori estimate of global solution with property of stationary solution set of problem （P）, we prove that the minimal stationary solution Uλ（x） of problem （P） is stable, whereas, any other stationary solution is an initial datum threshold for the existence and nonexistence of global solution to problem （P）.

Local Regularity for a 1D Compressible Viscous Micropolar Fluid Model with Non-homogeneous Temperature Boundary

In this paper,we discuss the local existence of H^i(i=2,4)solutions for a 1D compressible viscous micropolar fluid model with non-homogeneous temperature boundary.The proof is based on the local existence of solutions in[1].

综采面回采速度对基本顶初次断裂失稳的影响规律

工作面推进速度会影响顶板岩层的应力分布状态与断裂结构,进而影响顶板系统的稳定以及工作面矿压。首先,采用理论分析和现场实测的方法,分别建立了顶板力学模型和采场支架力学模型;其次,分析了推进速度对基本顶初次断裂极限跨距、三铰拱结构中临界滑落失稳系数和临界回转失稳系数的影响,揭示了推进速度对工作面支架阻力的影响规律;最后,结合神东矿区部分综采工作面来压步距和支架工作阻力,验证本模型的可靠性。研究结果表明:在仅考虑厚跨比影响下,当厚跨比为0.67时,固支梁最大位移的位置由两端顶部向中部底端转变;当厚跨比由0.67减少至0.50时,固支梁最大位移由2.04 mm迅速增加至3.29 mm,基本顶易发生断裂失稳;随着推进速度增加,临界滑落失稳系数呈对数降低,而基本顶初次断裂极限跨距和临界回转失稳系数均呈对数增加;滑落失稳对支架产生的附加静载随推进速度增加而减小,表明增加推进速度可有效减少滑落失稳对支架产生的附加静载,从而减少工作面初次来压时压架事故的发生概率。

深厚卵石层后压浆灌注桩承载性能研究

为研究深厚卵石层后压浆灌注桩的承载性能,以湖北观音寺长江大桥为背景,通过现场自平衡静载试验进行后压浆灌注桩承载性能研究。采用分布式后压浆技术,通过试桩现场试验获取压浆前、后深厚卵石层桩土接触界面桩侧摩阻力τ~桩土相对位移s、桩端阻力q u~桩端位移s u关系曲线,揭示后压浆对桩土接触界面剪切力学特性的影响,通过压浆前、后的桩侧、桩端初始刚度变化揭示压浆效应对深厚卵石层桩基承载能力增强的作用机理。结果表明:卵石层灌注桩采用分布式后压浆可以有效提高桩基的极限承载力,减小桩顶沉降;压浆后灌注桩桩侧摩阻力、桩端承载力得到提高,桩侧、桩端初始刚度得到增强,承载性能明显改善;现场实测桩基各承载性能指标约为理论值的1.1倍;压浆后桩基各承载性能指标为压浆前的1.8~2.0倍。

大型薄壁钢管桩支架屈曲失稳研究

薄壁钢管桩支架是大跨度渡槽等工程施工中常用的临时支撑结构,因其长细比较大,压杆稳定问题较为突出,因此准确计算其结构安全系数是设计中的关键。为研究应力集中对薄壁钢管桩支架屈曲失稳的影响,结合某大型渡槽工程,同时采用梁单元和壳单元建立钢管桩支架模型,利用有限元软件ABAQUS对比分析了不同径厚比和支架高度下钢管桩支架的屈曲临界荷载。结果表明,两种模型下钢管桩支架的屈曲失稳模态存在明显差异,梁单元因无法较好地反应局部应力特征,得到的结构安全系数偏大,计算结果偏危险。对于薄壁钢管桩支架,两种模型下屈曲临界荷载的相对差值与径厚比和初始缺陷成正相关。当钢管径厚比大于20时,两者之间的相对差值大于11.4%,实际工程中建议采用壳单元进行稳定验算。