CN103422617A - Continuous I beam adopting corrugated steel web steel and concrete composite structure - Google Patents
Continuous I beam adopting corrugated steel web steel and concrete composite structure Download PDFInfo
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Abstract
本发明涉及工字梁,公开了一种波形钢腹板钢混组合结构连续工字梁,包括一块波形钢腹板、上翼缘钢板及混凝土组合结构、下翼缘钢板,所述的波形钢腹板设置在上翼缘钢板与下翼缘钢板之间,上翼缘钢板、下翼缘钢板与波形钢腹板均通过焊接连接,单个梁体结构之间通过连接端或钢绞索中的一种或一种以上的组合连接,形成连续梁结构,承压区域的翼缘板与混凝土组合形成组合结构。本发明具有结构轻,用钢量省,抗震性能好的优点,本发明的波形钢腹板通过转角三个过渡段的设置,能实现直线段与圆弧段的顺畅过渡,解决转角的应力集中问题,尤其是承压部位采用带有微型应变波的钢砼组合结构,具有良好的结构性能和经济性。
The invention relates to an I-beam, and discloses a continuous I-beam with a corrugated steel web steel-concrete composite structure, which includes a corrugated steel web, an upper flange steel plate and a concrete composite structure, and a lower flange steel plate. The corrugated steel The web is arranged between the upper flange steel plate and the lower flange steel plate. The upper flange steel plate, the lower flange steel plate and the corrugated steel web are all connected by welding. One or more combination connections form a continuous beam structure, and the flange plate in the pressure-bearing area is combined with concrete to form a composite structure. The invention has the advantages of light structure, low steel consumption and good seismic performance. The corrugated steel web of the invention can realize the smooth transition between the straight line segment and the arc segment through the setting of three transition sections at the corner, and solve the stress concentration of the corner problems, especially the steel-concrete composite structure with micro-strain waves in the pressure-bearing parts, which has good structural performance and economy.
Description
技术领域technical field
本发明涉及工字梁,尤其涉及了一种波形钢腹板钢混组合结构连续工字梁。The invention relates to an I-beam, in particular to a continuous I-beam with corrugated steel web steel-concrete composite structure.
背景技术Background technique
传统的工字梁或钢箱梁根据抗剪屈曲的要求,腹板的高厚比一般在100:1左右,梯形波形钢腹板由于极强的抗剪和抗屈曲性能,其高厚比可大300:1。现有的波形钢腹板工字梁中采用的波形钢腹板,其腹板的波形都是由直线段与圆弧段组成,在直线段与圆弧段的连接部分容易产生应力集中。传统工字梁或钢箱梁受压翼缘也采用钢板,在受压区采用钢结构不能体现钢结构的经济性,如采用钢混组合结构,使受压区大部分的压应力由混凝土承担,虽然能体现经济性,但混凝土的收缩与徐变特性使得其与钢结构不能协同受力,造成应力重分布现象。For traditional I-beams or steel box girders, the height-to-thickness ratio of the web is generally about 100:1 according to the requirements of shear buckling resistance. The height-thickness ratio of the trapezoidal corrugated steel web can be Big 300:1. For the corrugated steel web used in the existing corrugated steel web I-beam, the corrugation of the web is composed of a straight line segment and an arc segment, and stress concentration is likely to occur at the connecting part of the straight line segment and the arc segment. Steel plates are also used for the compression flanges of traditional I-beams or steel box girders. The use of steel structures in the compression area cannot reflect the economy of steel structures. If steel-concrete composite structures are used, most of the compressive stress in the compression area will be borne by concrete. , although it can reflect the economy, but the shrinkage and creep characteristics of concrete make it unable to cooperate with the steel structure, resulting in stress redistribution.
发明内容Contents of the invention
本发明针对现有技术中工字梁抗剪性能差,整个结构容易产生应力集中,影响结构的寿命,同时以纯钢材作为承压构件,性价比低等缺点,尤其是组合结构中混凝土的收缩与徐变特性使得其与钢结构不能协同受力,造成应力重分布现象。提供了一种梁体的横截面刚度和连接端的强度高,腹板的波形通过直线段、过渡段、圆弧段三部分组成,其中过渡段能够有效的连接直线段与圆弧段,解决直线段与圆弧段直接连接时应力集中的问题以及采用混凝土组合结构作为承压构架,承压性能好,性价比高的波形钢腹板钢混组合结构连续工字梁。尤其采用了带有微型应变波的承压翼缘板,承压翼缘板上浇筑混凝土的波形钢腹板钢混组合结构简支工字梁,解决了混凝土的收缩与徐变造成的应力重分布现象。The invention aims at the disadvantages of poor shear resistance of I-beams in the prior art, stress concentration easily occurs in the whole structure, and affects the service life of the structure. At the same time, pure steel is used as a pressure member, and the cost performance is low, especially the shrinkage and slowing of concrete in the combined structure. The variable characteristics make it unable to cooperate with the steel structure to bear the force, resulting in the phenomenon of stress redistribution. Provides a beam with high cross-section rigidity and high strength at the connection end. The web waveform is composed of three parts: a straight line section, a transition section, and an arc section. The transition section can effectively connect the straight line section and the arc section to solve the problem of straight line The problem of stress concentration when the section and the arc section are directly connected, and the use of concrete composite structure as the pressure-bearing frame, the continuous I-beam of corrugated steel web steel-concrete composite structure with good pressure performance and high cost performance. In particular, the pressure-bearing flange plate with micro-strain wave is adopted, and the corrugated steel web steel-concrete composite structure simply supported I-beam with concrete poured on the pressure flange plate solves the stress heavy caused by the shrinkage and creep of concrete. distribution phenomenon.
为了解决上述技术问题,本发明通过下述技术方案得以解决:In order to solve the above technical problems, the present invention is solved through the following technical solutions:
波形钢腹板钢混组合结构连续工字梁,包括一块波形钢腹板、上翼缘钢板及混凝土组合结构、下翼缘钢板,所述的波形钢腹板设置在上翼缘钢板与下翼缘钢板之间,上翼缘钢板与波形钢腹板通过焊接连接、波形钢腹板与下翼缘钢板通过焊接连接,上翼缘钢板、下翼缘钢板表面粗糙度为70-350μm,单个梁体结构之间通过连接端或钢绞索中的一种或一种以上的组合连接,形成连续梁结构,承压区域的翼缘板与混凝土组合形成组合结构。承压区域的翼缘板为上翼缘钢板或下翼缘钢板,承压区域的翼缘板在普通梁中主要是上翼缘钢板,在悬臂梁中则是下翼缘钢板。The continuous I-beam with corrugated steel web steel-concrete composite structure includes a corrugated steel web, an upper flange steel plate and a concrete composite structure, and a lower flange steel plate. The corrugated steel web is arranged on the upper flange steel plate and the lower wing Between the flange steel plates, the upper flange steel plate and the corrugated steel web are connected by welding, and the corrugated steel web and the lower flange steel plate are connected by welding. The surface roughness of the upper and lower flange steel plates is 70-350 μm, and a single beam The solid structures are connected by one or more combinations of connecting ends or steel strands to form a continuous beam structure, and the flange plates in the pressure-bearing area are combined with concrete to form a composite structure. The flange plate in the pressure-bearing area is the upper flange steel plate or the lower flange steel plate. The flange plate in the pressure-bearing area is mainly the upper flange steel plate in the ordinary beam, and the lower flange steel plate in the cantilever beam.
作为优选,所述的波形钢腹板为带过渡段及圆弧转角的连续梯形波折钢板,过渡段位于直线段与圆弧转角之间,圆弧转角半径为r,过渡段的半径为R,R为渐变半径,R为∞—r。过渡段与直线段相连一端,半径为R为趋向无穷大;过渡段与圆弧转角相连一端,半径为R为趋向等于r,因此,由直线段至圆弧转角,过渡段的半径R为从无穷大逐渐减小至等于r,从而使得直线段与圆弧转角更加平稳过渡,减少应力集中。腹板的波形通过直线段、过渡段、圆弧段三部分组成,其中过渡段能够有效的连接直线段与圆弧转角,解决直线段与圆弧段直接连接时应力集中的问题,适合于工业化批量制造,模具及制造成本较低。Preferably, the corrugated steel web is a continuous trapezoidal corrugated steel plate with a transition section and an arc corner, the transition section is located between the straight section and the arc corner, the radius of the arc corner is r, and the radius of the transition section is R, R is the gradient radius, and R is ∞—r. The end of the transition section connected with the straight line section has a radius R which tends to infinity; the end of the transition section connected with the arc corner has a radius R which tends to be equal to r. Therefore, from the straight line section to the arc corner, the radius R of the transition section is from infinity Gradually decrease to be equal to r, so that the transition between the straight line segment and the arc corner is smoother, and the stress concentration is reduced. The waveform of the web is composed of three parts: straight line, transition and arc. The transition can effectively connect the straight line and the arc corner, and solve the problem of stress concentration when the straight line and the arc are directly connected. It is suitable for industrialization. Batch manufacturing, lower mold and manufacturing costs.
作为优选,所述的波形钢腹板沿波高方向的切点连线长度为LAB,沿波长方向的切点连线长度为LBC,LAB≥LBC。波形钢腹板沿波高方向的切点连线长度等于或略大于沿波长方向的切点连线长度,即LAB≥LBC的设计使波形钢板的抗剪强度和用钢量达到良好的性价比,如果波长方向过长,即LBC≥LAB则抗剪性能明显降低,而波长方向过短,则用钢量明显增大。因此,采用LAB≥LBC的设计,既能够在保证抗剪强度,又能够尽量减少钢材用量。Preferably, the length of the line connecting the tangent points along the wave height direction of the corrugated steel web is L AB , the length of the line connecting the tangent points along the wavelength direction is L BC , and L AB ≥ L BC . The length of the line of tangent points along the wave height direction of the corrugated steel web is equal to or slightly greater than the length of the line of tangent points along the wavelength direction, that is, the design of L AB ≥ L BC makes the shear strength of the corrugated steel plate and the amount of steel used achieve a good cost performance , if the wavelength direction is too long, that is, L BC ≥ LAB , the shear resistance will be significantly reduced, and if the wavelength direction is too short, the steel consumption will increase significantly. Therefore, adopting the design of L AB ≥ L BC can not only ensure the shear strength, but also reduce the amount of steel as much as possible.
作为优选,所述的上翼缘钢板带有外凸波峰的微型应变波。传统的波形钢板纵向基本无刚度,带有微型应变波的翼缘板纵向有刚度,能承压,且其微型应变波部分的纵向刚度减弱部分因混凝土外凸的截面而得到补强。Preferably, the upper flange steel plate has miniature strain waves with convex peaks. The traditional corrugated steel plate basically has no longitudinal stiffness, but the flange plate with micro-strain waves has longitudinal stiffness and can withstand pressure, and the weakened longitudinal stiffness of the micro-strain wave part is reinforced by the convex section of the concrete.
作为优选,所述的微型应变波的波高为上翼缘钢板厚度的3-20倍,外凸部分的波峰长度小于300mm,波峰与波峰间的距离为大于1000mm。微型应变波的波高采用翼缘板厚度的3-20倍,能使翼缘钢板受压时因微型应变波的存在而减弱的抗压能力,通过外凸增加的3-20倍翼缘板厚度所增加的混凝土截面来弥补,使翼缘板既能接受砼的纵向收缩与徐变,与砼协同受力,又在纵向收缩与徐变过程中及过程后保持整体结构强度。Preferably, the height of the micro strain wave is 3-20 times the thickness of the upper flange steel plate, the peak length of the convex part is less than 300mm, and the distance between the peaks is greater than 1000mm. The wave height of the micro-strain wave is 3-20 times the thickness of the flange plate, which can reduce the compressive capacity of the flange plate due to the existence of the micro-strain wave when the flange plate is compressed, and increase the thickness of the flange plate by 3-20 times through the convex The increased concrete section is used to make up for it, so that the flange plate can not only accept the longitudinal shrinkage and creep of the concrete, and cooperate with the concrete to bear the force, but also maintain the overall structural strength during and after the longitudinal shrinkage and creep process.
因为在承压翼缘板上浇筑混凝土,混凝土存在短期收缩和长期徐变,上述变化均使混凝土出现总量千分之一左右的收缩状态,而与混凝土组合的传统平直翼缘板不能协同收缩,从而导致组合结构的实际受力状态与理想受力状态存在明显差异,不能协同收缩的翼缘板率先承担了压应力,导致组合结构中应力重分布现象。本专利采用平直翼缘板上设置微型应变波的办法,使其既能接受砼的纵向收缩与徐变,又在纵向收缩与徐变过程中及过程后保持结构强度,一举解决了组合结构的上述瓶颈问题。Because the concrete is poured on the pressure flange, the concrete has short-term shrinkage and long-term creep. The above changes cause the concrete to shrink by about one-thousandth of the total amount, and the traditional straight flange combined with concrete cannot be coordinated. As a result, there is a significant difference between the actual stress state and the ideal stress state of the composite structure, and the flange plates that cannot shrink together take the lead in bearing the compressive stress, resulting in stress redistribution in the composite structure. This patent adopts the method of setting micro-strain waves on the straight flange plate, so that it can not only accept the longitudinal shrinkage and creep of concrete, but also maintain the structural strength during and after the longitudinal shrinkage and creep process, and solve the problem of composite structure in one fell swoop. The above bottleneck problem.
作为优选,所述的连接端为焊接连接。Preferably, the connection ends are welded connections.
作为优选,所述的连接端的焊接连接采用先简支,后连续的连接方式。先简支后连续的连接方式,一方面是缘于车间制造、运输、起吊长度等因素限制,另一方面,本方法有利于各跨之间设置预拱度或施加预应力。Preferably, the welding connection of the connection ends adopts a simple support first, and then a continuous connection. The simple support first and then continuous connection method is due to the limitations of workshop manufacturing, transportation, hoisting length and other factors on the one hand, and on the other hand, this method is conducive to setting pre-camber or applying pre-stress between spans.
作为优选,所述的上翼缘钢板的厚度大于或小于下翼缘钢板的厚度。因受压区需考虑屈曲,受拉区则不用考虑屈曲,所以传统的受拉区与受压区的用钢量或截面面积相同,使受拉区零件存在功能富余现象,是不科学和不经济的,受压区用钢量适当增大,有利于构件的受压、受拉零件的功能充分发挥,达到较高的性价比。上翼缘钢板的厚度大于下翼缘钢板的厚度时,其为普通工字梁,上翼缘钢板承受压力;上翼缘钢板的厚度小于下翼缘钢板的厚度时,其为悬臂梁,下翼缘钢板承受压力。Preferably, the thickness of the upper flange steel plate is greater than or smaller than the thickness of the lower flange steel plate. Because the buckling needs to be considered in the compression area, buckling is not considered in the tension area, so the steel consumption or cross-sectional area of the traditional tension area and the compression area are the same, so that the parts in the tension area have redundant functions, which is unscientific and unscientific. Economical, the amount of steel used in the compression area is appropriately increased, which is conducive to the full play of the functions of the compression and tension parts of the component, and achieves a higher cost performance. When the thickness of the upper flange steel plate is greater than that of the lower flange steel plate, it is an ordinary I-beam, and the upper flange steel plate bears pressure; when the thickness of the upper flange steel plate is smaller than that of the lower flange steel plate, it is a cantilever beam, and the lower Flange steel plate under pressure.
作为优选,所述的上翼缘钢板、下翼缘钢板沿波形钢腹板波长方向均为拱形。上翼缘钢板、下翼缘钢板均为拱形,有利于构件受力,抵消承载情况下构件下挠,提高工字梁的整体结构强度。Preferably, the upper and lower flange steel plates are arched along the wavelength direction of the corrugated steel web. Both the steel plate on the upper flange and the steel plate on the lower flange are arched, which is beneficial to the force of the component, offsets the deflection of the component under load, and improves the overall structural strength of the I-beam.
作为优选,所述的上翼缘钢板和下翼缘钢板中,受压区域浇筑混凝土。Preferably, in the upper flange steel plate and the lower flange steel plate, concrete is poured in the compressed area.
本发明由于采用了以上技术方案,具有显著的技术效果:本发明采用波形钢板作为工字梁的腹板,具有结构轻,用钢量省,抗震性能好的优点,梁体的横截面刚度和连接端的强度高,腹板的波形通过直线段、过渡段、圆弧段三部分组成,其中过渡段能够有效的连接直线段与圆弧段,解决直线段与圆弧段直接连接时应力集中的问题以及采用混凝土组合结构作为承压构架,承压性能好,性价比高。尤其是承压部位采用带有微型应变波的钢砼组合结构,解决了组合结构中的应力重分布的问题,使组合结构钢与混凝土协同受力,具有良好的结构性能和经济性。Due to the adoption of the above technical scheme, the present invention has remarkable technical effects: the present invention adopts corrugated steel plate as the web of the I-beam, which has the advantages of light structure, low steel consumption and good seismic performance, and the cross-sectional rigidity and The strength of the connection end is high, and the waveform of the web is composed of three parts: a straight line section, a transition section, and an arc section. The transition section can effectively connect the straight line section and the arc section, and solve the problem of stress concentration when the straight line section and the arc section are directly connected. The problem is that the concrete composite structure is used as the pressure-bearing frame, which has good pressure-bearing performance and high cost performance. In particular, the steel-concrete composite structure with micro-strain waves is used for the pressure-bearing parts, which solves the problem of stress redistribution in the composite structure, and enables the composite structure steel and concrete to be stressed synergistically, with good structural performance and economy.
附图说明Description of drawings
图1是本发明实施例1的结构示意图。Fig. 1 is a schematic structural diagram of
图2是图1的中波形钢腹板结构示意图。Fig. 2 is a schematic diagram of the structure of the corrugated steel web in Fig. 1 .
图3是图2的I部放大图。Fig. 3 is an enlarged view of part I of Fig. 2 .
图4是图1的左视图。Fig. 4 is a left side view of Fig. 1 .
图5是带微型应变波的结构示意图。Figure 5 is a schematic diagram of the structure with micro-strain waves.
图6是图5的主视图。Fig. 6 is a front view of Fig. 5 .
以上附图中各数字标号所指代的部位名称如下:其中其中1—上翼缘钢板、2—波形钢腹板、3—下翼缘钢板、5—钢绞索、7—混凝土、11—微型应变波、21—圆弧转角、22—过渡段、23—直线段。The names of the parts indicated by the numbers in the above drawings are as follows: 1—upper flange steel plate, 2—corrugated steel web, 3—lower flange steel plate, 5—steel cable, 7—concrete, 11—miniature Strain wave, 21—arc corner, 22—transition section, 23—straight line section.
具体实施方式Detailed ways
下面结合附图1至图6与实施例对本发明作进一步详细描述:Below in conjunction with accompanying drawing 1 to Fig. 6 and embodiment the present invention is described in further detail:
实施例1Example 1
波形钢腹板钢混组合结构连续工字梁,如图1至图6所示,包括一块波形钢腹板2、上翼缘钢板1及混凝土组合结构7、下翼缘钢板3,所述的波形钢腹板2设置在上翼缘钢板1与下翼缘钢板3之间,上翼缘钢板1与波形钢腹板2通过焊接连接、波形钢腹板2与下翼缘钢板3通过焊接连接,上翼缘钢板1、下翼缘钢板3表面粗糙度为70-350μm,单个梁体结构之间通过连接端或钢绞索5中的一种或一种以上的组合连接,形成连续梁结构,承压区域的翼缘板与混凝土组合形成组合结构。当普通梁时,承压区域的翼缘板为上翼缘钢板1,上翼缘钢板1上浇筑混凝土7。上翼缘钢板1、下翼缘钢板3表面粗糙度为250μm。高粗糙度能明显增加涂层的附着力。The continuous I-beam with steel-concrete composite structure with corrugated steel web, as shown in Figures 1 to 6, includes a
波形钢腹板2为带过渡段22及圆弧转角21的连续梯形波折钢板,过渡段22位于直线段23与圆弧转角21之间,圆弧转角21半径为r,过渡段22的半径为R,R为渐变半径,R为∞—r。过渡段22与直线段23相连一端,半径为R为趋向无穷大;过渡段22与圆弧转角21相连一端,半径为R为趋向等于r,因此,由直线段23至圆弧转角21,过渡段22的半径R为从无穷大逐渐减小至等于r,从而使得直线段23与圆弧转角21更加平稳过渡,减少应力集中。腹板的波形通过直线段、过渡段、圆弧段三部分组成,其中过渡段能够有效的连接直线段与圆弧转角,解决直线段与圆弧段直接连接时应力集中的问题,适合于工业化批量制造,模具及制造成本较低。The
波形钢腹板2沿波高方向的切点连线长度为LAB,沿波长方向的切点连线长度为LBC,LAB≥LBC。波形钢腹板2沿波高方向的切点连线长度等于或略大于沿波长方向的切点连线长度,即LAB≥LBC的设计使波形钢板的抗剪强度和用钢量达到良好的性价比,如果波长方向过长,即LBC≥LAB则抗剪性能明显降低,而波长方向过短,则用钢量明显增大。因此,采用LAB≥LBC的设计,既能够在保证抗剪强度,又能够尽量减少钢材用量。The length of the line connecting the tangent points along the wave height direction of the
上翼缘钢板带有外凸波峰的微型应变波11。微型应变波11的波高为上翼缘钢板厚度的3-20倍,外凸部分的波峰长度为250mm,波峰与波峰间的距离为1200mm。微型应变波的波高采用翼缘板厚度的10倍,能使翼缘钢板受压时因微型应变波的存在而减弱的抗压能力,通过外凸增加的10倍翼缘板厚度所增加的混凝土截面来弥补,使翼缘板既能接受砼的纵向收缩与徐变,又在纵向收缩与徐变过程中及过程后保持整体结构强度。The upper flange steel plate has
普通的直平翼缘板纵向没有刚度,当混凝土发生收缩与徐变时,钢板纵向几乎不会发生收缩与徐变。这样,便会导致混凝土在发生收缩与徐变时,平直翼缘板与混凝土发生脱壳现象,尤为严重的是引起钢结构率先受力的应力重分布问题,影响结构的稳定性,使结构强度降低。Ordinary straight flange plates have no stiffness in the longitudinal direction, and when the concrete shrinks and creeps, the steel plate hardly shrinks and creeps in the longitudinal direction. In this way, when the concrete shrinks and creeps, the flat flange plate and the concrete will peel off, and what is more serious is the stress redistribution problem that causes the steel structure to be the first to be stressed, which affects the stability of the structure and makes the structure Reduced strength.
连接端为焊接连接,连接端的焊接连接采用先简支,后连续的连接方式,所形成连续的结构,能有效防止超载车及大荷载作用下或地震作用下的梁体掉落现象。The connection end is welded connection, and the welding connection of the connection end adopts the simple support first, and then the continuous connection method, forming a continuous structure, which can effectively prevent the beam from falling under the action of overloaded vehicles, heavy loads or earthquakes.
上翼缘钢板1的厚度大于或小于下翼缘钢板3的厚度。因受压区需考虑屈曲,受拉区则不用考虑屈曲,所以传统的受拉区与受压区的用钢量或截面面积相同,使受拉区零件存在功能富余现象,是不科学和不经济的,受压区用钢量适当增大,有利于构件的受压、受拉零件的功能充分发挥,达到较高的性价比。上翼缘钢板1的厚度大于下翼缘钢板3的厚度时,其为普通工字梁,上翼缘钢板1承受压力;上翼缘钢板1的厚度小于下翼缘钢板3的厚度时,其为悬臂梁,下翼缘钢板2承受压力。The thickness of the upper
上翼缘钢板1、下翼缘钢板3沿波形钢腹板2波长方向均为拱形。上翼缘钢板1、下翼缘钢板3均为拱形,有利于构件受力,抵消承载情况下构件下挠,提高工字梁的整体结构强度。The upper
上翼缘钢板1和下翼缘钢板2中,受压区域浇筑混凝土。In the upper
实施例2Example 2
如图1至图6所示,本实施例与实施例1的区别在于:As shown in Figures 1 to 6, the difference between this embodiment and
上翼缘钢板带有外凸波峰的微型应变波11。微型应变波11的波高为上翼缘钢板厚度的3-20倍,外凸部分的波峰长度为200mm,波峰与波峰间的距离为1500mm。微型应变波的波高采用翼缘板厚度的15倍,能使翼缘钢板受压时因微型应变波的存在而减弱的抗压能力,通过外凸增加的15倍翼缘板厚度所增加的混凝土截面来弥补,使翼缘板既能接受砼的纵向收缩与徐变,又在纵向收缩与徐变过程中及过程后保持整体结构强度。The upper flange steel plate has
总之,以上所述仅为本发明的较佳实施例,凡依本发明申请专利范围所作的均等变化与修饰,皆应属本发明专利的涵盖范围。In a word, the above descriptions are only preferred embodiments of the present invention, and all equivalent changes and modifications made according to the scope of the patent application of the present invention shall fall within the scope of the patent of the present invention.
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