CN110826256B - Design method of lightweight three-layer structure of palm mattress - Google Patents
Design method of lightweight three-layer structure of palm mattress Download PDFInfo
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- CN110826256B CN110826256B CN201911203192.5A CN201911203192A CN110826256B CN 110826256 B CN110826256 B CN 110826256B CN 201911203192 A CN201911203192 A CN 201911203192A CN 110826256 B CN110826256 B CN 110826256B
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- A—HUMAN NECESSITIES
- A47—FURNITURE; DOMESTIC ARTICLES OR APPLIANCES; COFFEE MILLS; SPICE MILLS; SUCTION CLEANERS IN GENERAL
- A47C—CHAIRS; SOFAS; BEDS
- A47C27/00—Spring, stuffed or fluid mattresses or cushions specially adapted for chairs, beds or sofas
- A47C27/12—Spring, stuffed or fluid mattresses or cushions specially adapted for chairs, beds or sofas with fibrous inlays, e.g. made of wool, of cotton
Abstract
The invention discloses a design method of a lightweight three-layer structure of a palm mattress. The method comprises the steps of designing a palm mattress into an upper bed cushion layer, a middle bed cushion layer and a lower bed cushion layer, establishing a palm mattress model, carrying out stress deformation analysis on the palm mattress model after applying human body load, measuring the deflection values of the upper bed cushion layer, the middle bed cushion layer and the lower bed cushion layer in the palm mattress model, and setting the density of each mattress layer according to the deflection values of the upper bed cushion layer, the middle bed cushion layer and the lower bed cushion layer to obtain the lightweight three-layer structure of the palm mattress. By the design of the invention, the total density of the palm mattress can be reduced, the material consumption of the mattress can be saved, and the production cost can be reduced; the palm mattress light-weight three-layer structure designed by the invention not only meets the national standard in quality but also can reach the level of the existing product on the basis of reducing the total density of the palm mattress; when the lightweight three-layer structure of the palm mattress is designed, the palm mattress is convenient and quick; the invention reduces the total density of the prior palm mattress, has large degree of cost and large market potential.
Description
Technical Field
The invention relates to the field of design of a palm mattress, in particular to a design method of a lightweight three-layer structure of a palm mattress.
Background
The palm mattress is made of palm fiber, coconut shell and the like, and belongs to plant fiber elastic materials. CN90100464.2 discloses a method for producing a plant fiber elastic material, which can be used for producing a palm mattress, palm fibers (palm fibers) are curled and blown into a three-dimensional distribution by air flow, glue is sprayed, the palm fibers are bonded at nodes to obtain palm fiber elastic sheets, then the palm fiber elastic sheets are stacked to obtain a layered palm fiber elastic material, and the palm fiber elastic material is bonded by adding latex, pressing into a sheet, hot-pressing for shaping, vulcanizing and the like to obtain the palm mattress.
From the research situation of the mattress made of the plant fiber elastic material at home and abroad, most of researchers of the mattress try to establish the association relationship between the human body and the design of the mattress from the comfort of the mattress. The researches are based on functional requirements, few researches are carried out on the relation between the structure of the mattress and the cost, the product is judged based on empirical values during development due to no scientific theoretical guidance, and the structure of the mattress is not optimally designed in many cases.
In order to meet the durable use index of the mattress, the prior palm mattress is generally made by superposing palm sheet materials as much as possible, and the safe use coefficient is enlarged. This in fact results in an excess of material being used for the coir mattress, which increases the production costs of the coir mattress. Therefore, there is a need for a design method that optimizes the structure of a coir mattress.
Disclosure of Invention
The invention aims to provide a design method of a lightweight three-layer structure of a palm mattress. The method can guide the lightweight structural design of the palm mattress, design the palm mattress into an upper mattress layer structure, a middle mattress layer structure and a lower mattress layer structure, and respectively design the density of each mattress layer, so that the lightweight of the mattress is realized. By the design of the invention, the total density of the palm mattress can be reduced, the material consumption of the mattress can be saved, the production cost can be reduced, and the quality of the product can be ensured.
The technical scheme of the invention is as follows: a design method of a lightweight three-layer structure of a palm mattress comprises the steps of designing the palm mattress into an upper bed cushion layer, a middle bed cushion layer and a lower bed cushion layer, establishing a palm mattress model, carrying out stress deformation analysis on the palm mattress model after applying human body load, measuring the deflection values of the upper bed cushion layer, the middle bed cushion layer and the lower bed cushion layer in the palm mattress model, and setting the density of each mattress layer according to the deflection values of the upper bed cushion layer, the middle bed cushion layer and the lower bed cushion layer to obtain the lightweight three-layer structure of the palm mattress.
In the design method of the lightweight three-layer structure of the palm mattress, the method for establishing the palm mattress model and performing stress deformation analysis on the palm mattress model after applying the human body load is preferably to establish a material model and a mattress model by using ANSYS software and apply the human body load. Firstly establishing a material model of the mattress, then setting the size of the mattress by adopting a finite element solving method, establishing the mattress model by using the material model, applying human body load on the mattress model, and carrying out a stress deformation test on the mattress model after applying the human body load so as to obtain a corresponding deflection value; the mattress has the size of 2000mm in length, 1000mm in width and 120mm in thickness; the weight of the human body load is 80kg, and the area is 1700mm multiplied by 400mm; the finite element method is a method for solving a numerical solution of a specific problem, firstly, a structural member of a structure is cut into a plurality of units, the behavior of each unit is described, then, the units are connected by nodes again, and a set of simultaneous algebraic equations is generated in the process.
In the design method of the lightweight three-layer structure of the palm mattress, the thickness of the middle mattress layer is 1-4 times that of the upper mattress layer, and the thickness of the lower mattress layer is 1-3 times that of the middle mattress layer.
In the design method of the lightweight three-layer structure of the palm mattress, the thickness of the middle mattress layer is 1-3 times of that of the upper mattress layer, and the thickness of the lower mattress layer is 1-2.5 times of that of the middle mattress layer.
In the design method of the lightweight three-layer structure of the palm mattress, the thickness of the middle mattress layer is 1-2 times of that of the upper mattress layer, and the thickness of the lower mattress layer is 1-2 times of that of the middle mattress layer.
In the method for designing a lightweight three-layer structure of a palm mattress, the deflection value refers to a circular measurement area with a radius of 13mm in a plane where the stress centers of the upper, middle and lower mattress layers are located, and the respective stress centers are circular, and the deflection value obtained in the measurement area is the deflection value corresponding to the mattress layer.
In the design method of the lightweight three-layer structure of the coir mattress, the method for setting the density of each mattress layer according to the deflection values of the upper, middle and lower mattress layers comprises the following steps: the density of the upper, middle and lower mattress layers is set to be decreased in sequence.
In the design method of the lightweight three-layer structure of the palm mattress, the method for setting the deflection values of the upper mattress layer, the middle mattress layer and the lower mattress layer to the density of each mattress layer comprises the following steps:
let a mattress layer have a down-deflection value of 0.1x (mm) and a density of y (kg/m) 3 ) The minimum density of the mattress layer is k (kg/m) 3 ) And k is 76 to 90.
When x < 1, y = k;
y = k +5 × (x-1) when x < 3 > is 1 ≦ 1;
when x is larger than or equal to 3, y = k +20+10 × (x-3).
In the design method of the lightweight three-layer structure of the palm mattress, k is 78 to 88.
In the design method of the lightweight three-layer structure of the palm mattress, k is 83.
The research process of the invention is as follows:
1. and performing super-elastic model research on the palm mattress by adopting ANSYS to derive the deformation distribution of the interlayer parts of the elastic supporting layer of the mattress. And establishing a palm material model, in particular a mountain palm material model. Specifically, the elastic modulus 46.7KPa and the Poisson ratio 0.2 of the palm mattress are input in ANSYS software, and a typical constitutive model combining the super-elastic material is established, wherein the strain energy function is described as follows:
and when N =3, the special reduction form of the polynomial is a constitutive model in a Yeoh form, and the model is subjected to curve fitting to obtain a mountain palm super-elastic material model.
2. Finite element solution is carried out, the size of the mattress is selected to be a =200cm in length, b =100cm in width and 12cm in thickness, and due to the symmetry of the structure and the convenience of calculation, one half of the mattress can be taken for finite element analysis, so that the length of the mattress is a =200m, the width of the mattress is b =50cm, and the model is shown in figure 1. In FIG. 1, the length is along the X-direction, the width is along the Z-direction, and the thickness is along the Y-direction.
Referring to the biological geometric data of the common general human body, the load application area is 1.7m multiplied by 0.4m, and the weight is 80kg (considering the safety operation, the human body mass is a larger value). Thus, the pressure applied to the model is: p = F ÷ S =80 × 10 ÷ 1.7 × 0.4=1176.5 (pa). Due to the symmetry of the structure, the load application area is 1.7m multiplied by 0.2m, the uniform force application range is on the axis of the mattress, the structure and the load are symmetrical about the XY plane, and the load distribution is shown in figure 2.
3. And (5) carrying out interlaminar stress deformation analysis on the mattress model. Under the action of applying human body simulated load, the downwarping values of the mattress at the positions respectively 1cm, 3cm, 5cm, 7cm, 9cm and 11cm away from the upper surface of the mattress are analyzed, the distance from the measuring point of each layer to the stress center of the mattress is 15cm, and fig. 3 is a downwarping value curved surface diagram of each node along the central line of different sections. As shown in fig. 3, the closer to the upper surface of the mattress, the more the deformation under pressure there. When the distance from the upper surface of the mattress is 1cm, the compression deformation with the distance more than 0.25m from the central line is positive, which shows that the part is pressed upwards, and the compression stress of the layer is more concentrated at the position of 0-0.25 m. From fig. 3, the layer 11cm from the upper surface is still under compressive stress at a distance of 0.3m from the centre line. The further away from the upper surface, the larger and larger the area that is deformed by the pressure. Since the total load of the human body on the object is constant under a certain condition, the larger the pressed area is, the more the compressive stress is dispersed.
4. Analyzing stress distribution of each layer of the mattress, and analyzing stress cloud charts of the mattress with the analysis distances of 1cm, 3cm, 5cm, 7cm, 9cm and 11cm from the upper surface of the mattress in a model for applying human body load to the mattress, wherein the stress charts of each layer are shown in figures 4-9. The application of stress is a locally distributed force applied to the upper surface of the mattress. The stress cloud is a cloud of horizontal sections at different thicknesses of the mattress, which is a top view. In the original drawing of the attached drawings, the bar-shaped cloud charts at the bottom of each drawing are gradually changed from left to right to show that the stress is increasingly greater. The closer to the force application surface shown in the original drawing, the closer the color of the force application area is to the color of the right part of the bar cloud chart, which shows that the stress applied to the area is larger. Meanwhile, it can be clearly seen in fig. 4-9 that as the distance between the force-bearing surface and the force-applying surface increases, the stress area increases and the stress distribution tends to be uniform. From figures 4-9, there is a stress concentration in the upper left corner of the mattress, the more pronounced the effect of the concentration closest to the bottom layer, primarily due to the fact that the cross-section near the bottom is more affected by the fixed constraint of the bottom, which is due to the fixed constraint.
5. The lightweight mattress model is established, and the analysis according to the analysis of the interlaminar stress deformation analysis and the analysis of the stress distribution of each layer of the mattress can be obtained, when the elastic supporting layer of the mattress is stressed by the weight of a human body, the stress borne by each layer is smaller along with the farther the layer surface is from the contact surface, and the stress tends to be uniformly distributed, namely the stress borne by the whole elastic supporting layer is a process that the gradient is gradually reduced, theoretically, the final stress distribution can be supposed to be uniformly distributed in the whole when the elastic supporting layer is thick enough, and the stress at the moment only needs to ensure the minimum stress required by the rigidity of the mattress. The plant fiber mattress manufactured under the same production process condition ensures the rigidity of the product mainly through the density of the mattress, and when the stress requirement is higher, the corresponding density of the mattress is required to be higher. Therefore, we can correlate the density of the mattress with the required stress, so as to build a structural model of the mattress, as shown in fig. 10. The density of the 1 st layer is the maximum, the density gradually decreases with the increase of the number of layers, and the density of the bottommost layer is the minimum. The density of the layer 1 should meet the rigidity requirement corresponding to the local maximum stress of the human body, and the bottommost layer must meet the integral supporting rigidity requirement of the human body, namely the average compressive stress requirement of the human body.
6. The stress conditions of elastic materials such as memory cotton, latex sponge, environment-friendly palm, sisal, coconut palm, spandex, palm substitute cotton, common sponge, bamboo charcoal cotton, blasting cotton and the like are the same as the stress conditions of the mountain palm materials analyzed by the method, so the method can be used for research. The mattresses made of various elastic materials can be layered according to the stress condition, and the supporting force provided by each layer of material accords with the average pressure of a human body on the layer. Because the more the density and the more the stress are, the more uniform the elastic material is, the more the mattress is made of the uniform elastic material, the lighter layered structure can be provided for the mattresses made of the respective elastic materials. The research results of various elastic materials are similar to the research results of the invention, and finally, the functional relation between the downwarping value of the mattress layer of various materials and the layer density can be obtained, the functional formula can be similar to the formula of the method for setting the layer density by the deflection value of each mattress layer provided by the invention, and the difference lies in that the values of k, x and x are different along with the change rate of the deflection value.
The applicant has carried out a large number of experimental studies on the present invention, some of which are as follows:
according to the research process of the invention, the mattress can be theoretically divided into a plurality of layers to be arranged with density gradient, so that the lightweight structure of the mattress is realized, but according to the existing process, if the mattress is layered too much, the problems of complex process and low production efficiency are caused. Therefore, in practical application, the number of the layers of the mattress is preferably three, so that the production process is simple, and the product has a good technical effect. In order to examine the lightweight three-layer structure palm mattress model provided by the invention, the inventor manufactures the lightweight three-layer structure palm mattress and carries out experimental analysis on the lightweight three-layer structure palm mattress model.
The same thickness specification of the prior plant fiber mattress is manufactured by adopting single density molding, and the density value of the mattress is formulated by referring to the durability index meeting the standard requirement of 'soft furniture palm fiber elastic mattress'. This experiment has made the palm mattress of three kinds of different density with the mountain palm mattress, forms the palm mattress of lightweight three layer construction.
1. Experimental method
(1) The mountain palm material is used to produce three bed cushions with different densities. The production method comprises the processes of adding latex into the palm fiber, pressing into a sheet, hot-pressing and shaping, vulcanizing and the like. A palm mattress with the total thickness of 120mm is manufactured and designed into three mattress layers, wherein the thickness of an upper mattress layer is 30mm, the thickness of a middle mattress layer is 30mm, and the thickness of a lower mattress layer is 60. The density of each mattress layer was set by using the deflection values of the upper, middle and lower mattress layers, and k was 83, and the calculated density of the upper mattress layer was 118kg/m 3 (ii) a The density of the middle bed cushion layer is 93kg/m 3 (ii) a The density of the lower mattress layer was 87kg/m 3 。
(2) The upper mattress layer, the middle mattress layer and the lower mattress layer are combined in sequence from top to bottom after hot pressing and vulcanization. The assembled mattress structure is shown in figure 11.
(3) Through tests, the overall density of the experimental three-layer mattress pad is 94-100kg/m 3 Compared with the whole lowest density (114 kg/m) of the prior common mattress 3 ) The decrease is close to 15%.
2. Results and analysis of the experiments
(1) Mattress durability performance test
In order to effectively verify the durability performance of the mattress structure, the experiment is mainly carried out on samples of three batches with different comprehensive densities and the specification of the mattress being 2000 × 1200 × 120mm according to the requirements of GB-T26706-2011 'Soft furniture palm fiber elastic mattress standard'. The test results are shown in table 1.
TABLE 1 comparative analysis table of durability test results
According to the index requirements of GB-T26706-2011 'Soft furniture palm fiber elastic mattress standard', the durability is equal to or larger than 90%, the mechanical index of the durability of the lightweight three-layer structure mattress is good, the quality requirement is met, and the durability is larger than 93% and reaches the level of the existing product.
(2) Mattress static compression performance test
In order to judge the static compression mechanical property index of the mattress more scientifically and accurately, the mechanical test of the lightweight three-layer structure mattress is carried out by adopting a detection method required by GB-T26706-2011 'Soft furniture palm fiber elastic mattress standard'. The test data are shown in table 2.
TABLE 2 GB-T26706-2011 static compression Experimental data
According to the index requirements of GB-T26706-2011 'Soft furniture palm fiber elastic mattress standard', the product is qualified when the static compression is more than or equal to 88%. The static compression index of the lightweight three-layer structure mattress exceeds 92.5 percent, not only reaches the national standard and is a qualified product, but also reaches the level of the existing product.
Compared with the prior art, the invention has the following beneficial effects:
1. according to the invention, through analysis of the palm mattress, the distance between the stressed deformation area of the mattress and the force application surface is increased and increased after the mattress is applied with load. Because the total load of a human body lying on the mattress is constant, the stress is diffused to the periphery along with the stress center along with the downward transmission of the load, and the average stress borne by the lower part of the mattress is reduced. Therefore, the lower part of the mattress made of the palm fiber material does not need to keep higher supporting strength, and only needs to meet corresponding supporting force. However, since the conventional mattresses are produced at a uniform density, there is a case where the supporting force is excessive in the lower part of the mattress. The invention can carry out layered design on the palm mattress and reduce part of the density of the lower part of the mattress, thereby realizing the effects of reducing the total density of the mattress, saving the material consumption and the production cost.
2. According to the invention, the palm mattress is designed into a three-layer structure by utilizing the research result of the lightweight structure of the palm mattress, so that the production process is simple, and a good technical effect can be realized. The design density successive layer of bed course, well bed course, bed course down in this design reduces, and design thickness is the trend of gradually increasing. The mattress layer positioned below in the designed structure of the invention can provide good support for the mattress layer and the load above, and the structure is reasonable.
3. Through the lightweight three-layer structure of the palm mattress designed by the invention, the mattress can still ensure the durability and the static compression index on the basis of reducing the total density of the palm mattress. The indexes not only meet the national standard, but also reach the level of the existing products.
4. The invention establishes the relationship between the downwarping value of the mountain palm mattress and the design density of the mattress, and the lightweight structure of the palm mattress meeting the standard can be conveniently and quickly designed by the method.
5. Through estimation, the total density of the lightweight three-layer structure mattress designed by the invention can be reduced by about 15% compared with the total density of the existing palm mattress, and the total production cost can be reduced by about 12%. Because the palm mattress is a popular consumer product, the invention has good market prospect and can generate extremely high economic benefit.
In conclusion: by the design of the invention, the total density of the palm mattress can be reduced, the material consumption of the mattress can be saved, and the production cost can be reduced; the structure is reasonable; the palm mattress light-weight three-layer structure designed by the invention not only meets the national standard in quality but also can reach the level of the existing product on the basis of reducing the total density of the palm mattress; when the lightweight three-layer structure of the palm mattress is designed, the palm mattress is convenient and quick; the invention reduces the total density of the prior palm mattress, has large degree of cost and large market potential.
Drawings
FIG. 1 is a finite element mesh partition of a mattress;
FIG. 2 is a load distribution of the mattress;
FIG. 3 is a graph of the sag values of various nodes along the centerline for different cross-sections;
FIG. 4 is a stress cloud of Mises 1cm from the upper surface;
FIG. 5 is a graph of Mises stress clouds 3cm from the upper surface;
FIG. 6 is a cloud of Mises stresses 5cm from the upper surface;
FIG. 7 is a graph of Mises stress clouds 7cm from the upper surface;
FIG. 8 is a cloud of Mises stresses 9cm from the upper surface;
FIG. 9 is a cloud of Mises stress at 11cm from the upper surface;
FIG. 10 is a structural model of a lightweight mattress;
fig. 11 is a schematic view of a three-layered mattress-base brown mattress.
The labels in the figures are: 1-upper mattress layer, 2-middle mattress layer and 3-lower mattress layer.
Detailed Description
The present invention is further illustrated by the following examples, which are not to be construed as limiting the invention. Processes not specifically mentioned for the present invention are all common in the art.
Example 1. A design method of a lightweight three-layer structure of a palm mattress comprises the following steps:
a palm mattress with the length of 2000mm, the width of 1800mm and the thickness of 160mm is designed into three layers. Wherein the thickness of the mattress layer is 4 times of the thickness of the upper mattress layer, and the thickness of the lower mattress layer is 3 times of the thickness of the middle mattress layer. The thickness of the upper mattress layer is 10mm, the thickness of the middle mattress layer is 40mm, and the thickness of the lower mattress layer is 120mm.
Firstly, establishing a palm material model of the mattress by using ANSYS software. A finite element solving method is adopted, and a palm mattress model corresponding to the length, the width and the thickness is built by using a palm material model. Then applying human body load on the palm mattress model, wherein the load area is 1700mm multiplied by 800mm, and the weight is 85kg; and (3) carrying out a stress deformation test on the mattress model applied with the human body load to obtain the downwarping values of the upper mattress layer, the middle mattress layer and the lower mattress layer, wherein the selection point of the downwarping value is selected on the plane where the stress center of each mattress layer is located, and the downwarping value is selected within 13mm from the stress center of each mattress layer.
Finally, according to the deflection values of the upper mattress layer and the lower mattress layer, the mattress layer density is set, the deflection value of one mattress layer is 0.1x (mm), and the mattress layer density is y (kg/m) 3 ) The minimum density of the mattress layer is k (kg/m) 3 ) K is 76; according to when x < 1, y =76; when x is more than or equal to 1 and less than 3, y =76+5 x (x-1); when x is more than or equal to 3, y =96+10 (x-3), calculating: the density of the upper mattress layer is 124kg/m 3 The density of the middle bed cushion layer is 115kg/m 3 The density of the lower bed layer was 86kg/m 3 。
That is, the palm fiber mattress with the length of 2000mm, the width of 1800mm and the thickness of 160mm is designed into a light three-layer mattress structure by the invention. Wherein the upper mattress layer has a thickness of 10mm and a density of 124kg/m 3 (ii) a The middle mattress layer has a thickness of 40mm and a density of 115kg/m 3 (ii) a The thickness of the lower mattress layer is 120mm, and the density is 86kg/m 3 。
Example 2. A design method of a lightweight three-layer structure of a palm mattress is disclosed, and a model building method and a stress deformation testing method of the embodiment are the same as those of embodiment 1. The downwarping values of the upper, middle and lower mattress layers are selected on the plane where the stress center of the mattress layer is located, and a warping value within 7mm from the stress center of the mattress layer is selected as the downwarping value. Wherein the thickness of the mattress layer is 3 times of the thickness of the upper mattress layer, and the thickness of the lower mattress layer is 2.5 times of the thickness of the middle mattress layer. The density of the mattress layer is set by using the deflection values of the upper, middle and lower mattress layers, and the k value is 78 to calculate the design density of each of the upper, middle and lower mattress layers.
Namely byThe invention designs the palm mattress with the length of 2000mm, the width of 1800mm and the thickness of 230mm into a lightweight three-layer structure. Wherein the upper bed cushion layer has a thickness of 20mm and a density of 122kg/m 3 (ii) a The middle mattress layer has a thickness of 60mm and a density of 114kg/m 3 (ii) a The thickness of the lower mattress layer is 150mm, and the density is 85kg/m 3 。
Example 3. A design method of a lightweight three-layer structure of a palm mattress is disclosed, and a model building method and a stress deformation testing method of the embodiment are the same as those of embodiment 1. The downwarping values of the upper, middle and lower mattress layers are selected on the plane where the stress center of the mattress layer is located, and a warping value within 3mm from the stress center of the mattress layer is selected as the downwarping value. Wherein the thickness of the mattress layer is 2 times of the thickness of the upper mattress layer, and the thickness of the lower mattress layer is 2 times of the thickness of the middle mattress layer. The density of the mattress layer is set by using the deflection values of the upper, middle and lower mattress layers, and the k value is 83 to calculate the design density of the upper, middle and lower mattress layers.
Namely, the palm mattress with the length of 1800mm, the width of 1600mm and the thickness of 140mm is designed into a light three-layer structure by the invention. Wherein the upper mattress layer has a thickness of 20mm and a density of 119kg/m 3 (ii) a The middle mattress layer has a thickness of 40mm and a density of 92kg/m 3 (ii) a The thickness of the lower mattress layer is 80mm, and the density is 85kg/m 3 。
Example 4. A design method of a lightweight three-layer structure of a palm mattress is disclosed, and a model building method and a stress deformation testing method of the embodiment are the same as those of embodiment 1. The downwarping values of the upper, middle and lower mattress layers are selected on the plane where the stress center of the mattress layer is located, and a warping value within 8mm from the stress center of the mattress layer is selected as the downwarping value. Wherein the thickness of the mattress layer is 2 times of the thickness of the upper mattress layer, and the thickness of the lower mattress layer is the same as that of the middle mattress layer. The density of the mattress layer is set by using the deflection values of the upper, middle and lower mattress layers, the k value is 90, and the design density of each of the upper, middle and lower mattress layers is calculated.
The palm mattress with the length of 2000mm, the width of 1800mm and the thickness of 150mm is designed into a light three-layer structure through the invention. Wherein the upper bed layer has a thickness of 30mm and a density of 123kg/m 3 (ii) a The middle mattress layer has a thickness of 60mm and a density of 96kg/m 3 (ii) a The thickness of the lower mattress layer is 60mm, density 90kg/m 3 。
Example 5. A design method of a lightweight three-layer structure of a palm mattress is disclosed, and a model building method and a stress deformation testing method of the embodiment are the same as those of embodiment 1. Wherein the applied area of the human body load is 1850mm × 800mm, and the weight is 90kg. Wherein the thickness of the mattress layer is 2.5 times of the thickness of the upper mattress layer, and the thickness of the lower mattress layer is 1.5 times of the thickness of the middle mattress layer. The downwarping values of the upper, middle and lower mattress layers are selected on the plane where the stress center of the mattress layer is located, and a warping value within 6mm from the stress center of the mattress layer is selected as the downwarping value. The density of the mattress layer is set by using the deflection values of the upper, middle and lower mattress layers, and the k value is 88 to calculate the design density of each of the upper, middle and lower mattress layers.
Namely, the palm mattress with the length of 2000mm, the width of 1800mm and the thickness of 145mm is designed into a light three-layer structure by the invention. Wherein the upper mattress layer has a thickness of 20mm and a density of 122kg/m 3 (ii) a The middle mattress layer has a thickness of 50mm and a density of 93kg/m 3 (ii) a The thickness of the lower mattress layer is 75mm, and the density is 86kg/m 3 。
Example 6. A design method of a lightweight three-layer structure of a palm mattress is disclosed, and a model building method and a stress deformation testing method of the embodiment are the same as those of embodiment 1. Wherein the applied area of the human body load is 1800mm multiplied by 700mm, and the weight is 90kg. Wherein the thickness of the mattress layer is 1 time of the thickness of the upper mattress layer, and the thickness of the lower mattress layer is 1 time of the thickness of the middle mattress layer. The downwarping values of the upper, middle and lower mattress layers are selected on the plane where the stress center of the mattress layer is located, and a warping value within 10mm from the stress center of the mattress layer is selected as the downwarping value. The density of the mattress layer is set by using the deflection values of the upper, middle and lower mattress layers, the k value is 85, and the design density of the upper, middle and lower mattress layers is calculated.
Namely, the palm mattress with the length of 2000mm, the width of 1800mm and the thickness of 240mm is designed into a light three-layer structure by the invention. Wherein the upper mattress layer has a thickness of 80mm and a density of 116kg/m 3 (ii) a The middle mattress layer is 80mm thick and has a density of 97kg/m 3 (ii) a The thickness of the lower mattress layer is 80mm, and the density is 85kg/m 3 。
Example 7. A design method of a lightweight three-layer structure of a palm mattress is disclosed, and a model building method and a stress deformation testing method of the embodiment are the same as those of embodiment 1. Wherein the applied area of the human body load is 1800mm multiplied by 800mm, and the weight is 90kg. Wherein the thickness of the mattress layer is 1 time of the thickness of the upper mattress layer, and the thickness of the lower mattress layer is 2 times of the thickness of the middle mattress layer. The downwarping values of the upper, middle and lower mattress layers are selected on the plane where the stress center of the mattress layer is located, and a warping value within 9mm from the stress center of the mattress layer is selected as the downwarping value. The density of the mattress layer is set by using the deflection values of the upper, middle and lower mattress layers, and the k value is 84 to calculate the design density of the upper, middle and lower mattress layers.
Namely, the palm mattress with the length of 2000mm, the width of 1800mm and the thickness of 240mm is designed into a light three-layer structure by the invention. Wherein the upper mattress layer has a thickness of 60mm and a density of 117kg/m 3 (ii) a The middle mattress layer has a thickness of 60mm and a density of 96kg/m 3 (ii) a The thickness of the lower mattress layer is 120mm, and the density is 85kg/m 3 。
Example 8. A design method of a lightweight three-layer structure of a palm mattress is disclosed, and a model building method and a stress deformation testing method of the embodiment are the same as those of embodiment 1. Wherein the applied area of the human body load is 1900mm multiplied by 800mm, and the weight is 90kg. Wherein the thickness of the mattress layer is 1.5 times of the thickness of the upper mattress layer, and the thickness of the lower mattress layer is 1.5 times of the thickness of the middle mattress layer. The downwarping values of the upper, middle and lower mattress layers are selected on the plane where the stress center of the mattress layer is located, and a warping value within 10mm from the stress center of the mattress layer is selected as the downwarping value. The density of the mattress layer is set by using the deflection values of the upper, middle and lower mattress layers, and the k value is 82 to calculate the design density of the upper, middle and lower mattress layers.
The palm mattress with the length of 2000mm, the width of 1800mm and the thickness of 190mm is designed into a light three-layer structure by the invention. Wherein the upper mattress layer has a thickness of 40mm and a density of 118kg/m 3 (ii) a The middle mattress layer has a thickness of 60mm and a density of 97kg/m 3 (ii) a The thickness of the lower mattress layer is 90mm, and the density is 85kg/m 3 。
Claims (7)
1. A design method of a lightweight three-layer structure of a palm mattress is characterized by comprising the following steps: designing a palm mattress into an upper bed cushion layer, a middle bed cushion layer and a lower bed cushion layer, establishing a palm mattress model, carrying out stress deformation analysis on the palm mattress model after applying human body load, determining the deflection values of the upper bed cushion layer, the middle bed cushion layer and the lower bed cushion layer in the palm mattress model, and setting the density of each mattress layer according to the deflection values of the upper bed cushion layer, the middle bed cushion layer and the lower bed cushion layer to obtain a light three-layer structure of the palm mattress;
the deflection values of the upper, middle and lower bed cushions are the deflection values measured in a circular measuring area with the radius of 13mm by taking the stress center as a circle in the plane of the stress center of the upper, middle and lower bed cushions;
the method for setting the deflection values of the upper mattress layer, the middle mattress layer and the lower mattress layer to the density of each mattress layer comprises the following steps:
the deflection values of the upper, middle and lower bed cushion layers correspond to the lower deflection value of the mattress layer; let the down deflection value of a mattress layer be 0.1x (mm), the density of the mattress layer be y (kg/m) 3 ) The minimum density of the mattress layer is k (kg/m) 3 ) K is 76 to 90;
when x < 1, y = k;
y = k +5 x (x-1) when x < 3 > is 1 ≦ x;
when x is larger than or equal to 3, y = k +20+10 × (x-3).
2. The design method of the light-weight three-layer structure of the palm mattress according to claim 1, characterized in that: the thickness of the middle mattress layer is 1-4 times of that of the upper mattress layer, and the thickness of the lower mattress layer is 1-3 times of that of the middle mattress layer.
3. The design method of the lightweight three-layer structure of the palm mattress according to claim 2, characterized in that: the thickness of the middle mattress layer is 1-3 times of that of the upper mattress layer, and the thickness of the lower mattress layer is 1-2.5 times of that of the middle mattress layer.
4. The design method of the lightweight three-layer structure of the palm mattress according to claim 3, characterized in that: the thickness of the middle mattress layer is 1-2 times of that of the upper mattress layer, and the thickness of the lower mattress layer is 1-2 times of that of the middle mattress layer.
5. The design method of the lightweight three-layer structure of the palm mattress according to claim 1, characterized in that: the method for setting the density of each mattress layer according to the deflection values of the upper mattress layer, the middle mattress layer and the lower mattress layer comprises the following steps: the density of the upper, middle and lower mattress layers is set to be decreased in sequence.
6. The design method of the lightweight three-layer structure of the palm mattress according to claim 1, characterized in that: and k is 78-88.
7. The design method of the lightweight three-layer structure of the palm mattress according to claim 6, characterized in that: the k is 83.
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