CN114811741B - Design method and structure of air conditioner gravity center height and supporting surface radius and air conditioner - Google Patents
Design method and structure of air conditioner gravity center height and supporting surface radius and air conditioner Download PDFInfo
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- CN114811741B CN114811741B CN202210522887.5A CN202210522887A CN114811741B CN 114811741 B CN114811741 B CN 114811741B CN 202210522887 A CN202210522887 A CN 202210522887A CN 114811741 B CN114811741 B CN 114811741B
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- 230000005484 gravity Effects 0.000 title claims abstract description 66
- 238000013461 design Methods 0.000 title claims abstract description 33
- 238000000034 method Methods 0.000 title claims abstract description 19
- 238000004364 calculation method Methods 0.000 claims abstract description 6
- 230000009471 action Effects 0.000 claims description 4
- 230000003068 static effect Effects 0.000 claims description 3
- 230000014509 gene expression Effects 0.000 claims description 2
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- 239000002699 waste material Substances 0.000 abstract description 4
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- 238000004519 manufacturing process Methods 0.000 description 2
- 238000011160 research Methods 0.000 description 2
- 238000004378 air conditioning Methods 0.000 description 1
- 230000000694 effects Effects 0.000 description 1
- 238000005485 electric heating Methods 0.000 description 1
- 238000011156 evaluation Methods 0.000 description 1
- 238000010438 heat treatment Methods 0.000 description 1
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Classifications
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F24—HEATING; RANGES; VENTILATING
- F24F—AIR-CONDITIONING; AIR-HUMIDIFICATION; VENTILATION; USE OF AIR CURRENTS FOR SCREENING
- F24F1/00—Room units for air-conditioning, e.g. separate or self-contained units or units receiving primary air from a central station
- F24F1/0007—Indoor units, e.g. fan coil units
- F24F1/0043—Indoor units, e.g. fan coil units characterised by mounting arrangements
- F24F1/005—Indoor units, e.g. fan coil units characterised by mounting arrangements mounted on the floor; standing on the floor
-
- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F24—HEATING; RANGES; VENTILATING
- F24F—AIR-CONDITIONING; AIR-HUMIDIFICATION; VENTILATION; USE OF AIR CURRENTS FOR SCREENING
- F24F13/00—Details common to, or for air-conditioning, air-humidification, ventilation or use of air currents for screening
- F24F13/32—Supports for air-conditioning, air-humidification or ventilation units
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
- G06F2119/02—Reliability analysis or reliability optimisation; Failure analysis, e.g. worst case scenario performance, failure mode and effects analysis [FMEA]
Abstract
The invention provides a design method and a structure of the height of the center of gravity of an air conditioner and the radius of a supporting surface and the air conditioner, wherein the design method of the height of the center of gravity of the air conditioner and the radius of the supporting surface comprises the following steps: s1: according to the stable placing state and the tipping critical state of the cabinet air conditioner, a first function H of a tipping moment arm is obtained G ＝f 1 (H, R); s2: obtaining a second function H of the overturning moment arm according to the stability relation of normal placement of the cabinet air conditioner G ＝f 2 (H, R); s3: defining a maximum angle theta of inclination when the cabinet air conditioner is overturned; s4: and obtaining a relation solution of the gravity center height H and the base radius R through mathematical calculation. The design method of the gravity center height and the radius of the supporting surface of the air conditioner aims to rapidly analyze the stability relation between the gravity center height H of the cabinet machine and the radius R of the supporting surface, improve the reliability of framework layout development, avoid material waste caused by overlarge design of the base and ensure stable and reliable placement of the base.
Description
Technical Field
The invention relates to the technical field of production optimization of air conditioner products, in particular to a design method and structure of the gravity center height and the radius of a supporting surface of an air conditioner and the air conditioner.
Background
Floor air conditioners are commonly also known as cabinet air conditioners. The horizontal section of the cabinet air conditioner is generally rectangular or circular, and the cabinet air conditioner is mostly in a fine and high structure, so that the gravity center of the machine is higher, and a general user selects a wall-leaning mode, but the cabinet air conditioner still has the problem of easy tipping.
The size of the base of the cabinet air conditioner determines the stability, and the existing cabinet base on the market has the disadvantages of too large waste materials, increased weight and poor stability and easy tipping.
Disclosure of Invention
In view of the above, the present invention is directed to a design method and structure for the height of the center of gravity and the radius of the supporting surface of an air conditioner, and an air conditioner, so as to solve the technical problem that the air conditioner base is inconvenient to design.
In order to achieve the above purpose, the technical scheme of the invention is realized as follows:
a design method for the height of the center of gravity and the radius of a supporting surface of an air conditioner comprises the following steps:
s1: according to the functional relation between the overturning moment M received by the cabinet air conditioner and the gravity center height H of the cabinet air conditioner and the base radius R of the cabinet air conditioner in the stable placing state and the overturning critical state, obtaining a first function H of the overturning moment arm G ＝f 1 (H，R)；
S2: obtaining a second function H of the overturning moment arm according to the stability relation of normal placement of the cabinet air conditioner G ＝f 2 (H，R)；
S3: according to the type of the cabinet air conditioner, limiting the maximum angle theta of inclination when the cabinet air conditioner is overturned;
s4: and combining the relational expressions in S1, S2 and S3, and obtaining a relational solution of the gravity center height H and the base radius R through mathematical calculation.
Further, in step S1:
when the air conditioner is normally placed, the tipping angle alpha at the moment can be obtained, wherein alpha is the included angle formed by the gravity center point, the connecting line of the rotating supporting point and the gravity direction;
in the critical rollover state of the air conditioner, the combined moment received by the air conditioner is M= Σfh=m F +M f +M G ＝F×0+f×0+G×H G ；M F To support moment M f For friction moment, M G Gravitational moment, F is the supportForce f is friction force, G is gravity force, H G To topple the arm;
combining trigonometric function relation of normal placement and critical tipping state of air conditioner to obtain first function of tipping moment armWherein L is the center radius of rotation.
Further, in step S2: the stability relation of the cabinet air conditioner is to define a stability coefficient k according to the ratio of the stability moment to the overturning moment, wherein:
stability coefficient: k=m Stability and stability /M Turning over ≥A；
Overturning moment arm: h Turning over ＝H G /d≥B；
Wherein M is Stability and stability M is the combined moment received by the air conditioner in a stable state Turning over For the combined moment of the air conditioner in the critical tipping state, A, B is a preset reference value, wherein the stability factor k is a reference parameter of the air conditioner tipping under the action of external force, and the tipping moment arm H Turning over And d is the diameter of the base, which is a reference parameter for the air conditioner to tip over in a static state.
Further, according to the stability relation in S4, the stability relation between the gravity center height H and the radius R of the supporting surface is:
further, the value of A is 1.05-1.15.
Further, the value of B is 0.15 to 0.25.
Further, the value range of the rotating angle theta of the cabinet air conditioner during critical tipping is 8-17 degrees.
Further, the cabinet air conditioner without the electric heating device has the rotation angle theta=10° when in critical tipping; cabinet air conditioner with electric heater, which rotates at critical tipping angle θ=15°.
Compared with the prior art, the design method for the height of the center of gravity of the air conditioner and the radius of the supporting surface has the following advantages:
according to the design method for the gravity center height and the radius of the supporting surface of the air conditioner, the stability relation between the gravity center height and the radius of the supporting surface of the cabinet machine of the air conditioner is provided through research and analysis, and the stability relation between the optimal gravity center position and the supporting surface is to be analyzed, so that the initial skeleton layout of product development is facilitated, the development efficiency is improved, the product quality is improved, and the reliability is enhanced.
The invention also discloses a design structure of the height of the center of gravity of the air conditioner and the radius of the supporting surface, wherein the height of the center of gravity of the air conditioner is H, the base is circularly arranged, the radius of the base is R, the rotation angle of the air conditioner is theta when the air conditioner is in critical tipping, and the tipping moment arm H Turning over The coefficient of (a) is set as B, and the relation between the gravity center height H of the cabinet air conditioner and the radius R of the supporting surface is as follows:
the application the air conditioner gravity center height and the supporting surface radius design structure enable the air conditioner to limit the cabinet air conditioner gravity center height H and the supporting surface radius R according to the relation between the cabinet air conditioner gravity center height H and the supporting surface radius R in the product development layout and the manufacturing process, reduce material waste and guarantee the cabinet placement to be stable and reliable.
A third object of the present invention is to disclose an air conditioner, which adopts the design method of the height of the center of gravity of the air conditioner and the radius of the supporting surface as described above, or has the design structure of the height of the center of gravity of the air conditioner and the radius of the supporting surface as described above, when developing the layout.
The air conditioner and the air conditioner gravity center height and supporting surface radius design method and the air conditioner gravity center height and supporting surface radius design structure have the same advantages compared with the prior art, and are not described in detail herein.
Drawings
The accompanying drawings, which are included to provide a further understanding of the invention and are incorporated in and constitute a part of this specification, illustrate embodiments of the invention and together with the description serve to explain the invention. In the drawings:
fig. 1 is a schematic structural diagram of a cabinet air conditioner according to an embodiment of the present invention;
fig. 2 is a schematic structural diagram of a critical state when the cabinet air conditioner is tipped over according to an embodiment of the present invention;
fig. 3 is a schematic structural diagram of a cabinet air conditioner moving from a normal placement state to a rollover critical state according to an embodiment of the present invention
FIG. 4 is a schematic view of a part of the enlarged structure of the portion A in FIG. 3;
FIG. 5 is a diagram illustrating the principle of overturning moment analysis;
reference numerals illustrate:
100-normal placement state air conditioner, 100-tipping critical state air conditioner and 101-base.
Detailed Description
In order to facilitate understanding of the technical means, objects and effects of the present invention, embodiments of the present invention will be described in detail with reference to the accompanying drawings.
Example 1
The invention discloses a design method for the height of the center of gravity of an air conditioner and the radius of a supporting surface, which comprises the following steps:
s1: according to the functional relation between the overturning moment M received by the cabinet air conditioner and the gravity center height H of the cabinet air conditioner and the base radius R of the cabinet air conditioner in the stable placing state and the overturning critical state, obtaining a first function H of the overturning moment arm G ＝f 1 (H，R)；
S2: obtaining a second function H of the overturning moment arm according to the stability relation of normal placement of the cabinet air conditioner G ＝f 2 (H，R)；
S3: according to the type of the cabinet air conditioner, limiting the maximum angle theta of inclination when the cabinet air conditioner is overturned;
s4: combined with a first function H of the overturning moment arm G ＝f 1 (H, R), the overturning moment arm second function H G ＝f 2 And (H, R) obtaining a relation solution of the gravity center height H and the base radius R through mathematical calculation.
The invention discloses a design method for the height of the center of gravity of an air conditioner and the radius of a supporting surface, wherein the height of the center of gravity G of the air conditioner 100 in a normal placement state is set to be H, a base 101 is circularly arranged, the air conditioner can possibly tilt along the outer contour of the base, the radius of the base 101 is R, and the method is used for defining the functional relation between two overturning moment arms and the height H of the center of gravity and the radius R of the base according to the overturning moment M of the cabinet air conditioner and the stability relation of the normal placement of the cabinet air conditioner in the initial stage of product development, wherein the overturning moment refers to the moment causing self-propelled mechanical overturning and is the product of overturning load and overturning moment arm (the distance from the overturning load to the overturning edge) and is used for measuring object overturning or stabilizing; the stability relation is the ratio of the stabilizing moment to the overturning moment, and is embodied by a stabilizing coefficient which is a specified value and is used for judging the stability of the object; combining the maximum angle theta of the inclination of the cabinet air conditioner type when the air conditioner is overturned, namely setting the turning angle of the air conditioner 100 in the overturned critical state as theta, obtaining the relation solution of the gravity center height H and the base radius R through mathematical calculation, namely obtaining the stability relation of the gravity center height H and the base radius R, facilitating the rapid framework layout of the initial stage of product development, and improving the development efficiency.
As to the principle of action of the overturning moment, as shown in fig. 5, the object is inclined, the overturning load is represented by a matrix [ F ], and [ F ] = [ G, N ] 1 ，f 1 ，-N 2 T, vector for overturning moment arm [ H ] T Representing [ H ] T ＝【H G ，H N1 ，H f1 ，H N2 ，H T The combined torque can be defined as: combined moment m= [ F ] [ H ] T 。
In the critical rollover state of the air conditioner, the combined moment received by the air conditioner is M= Σfh=m F +M f +M G ＝F×0+f×0+G×H G ；M F To support moment M f For friction moment, M G Gravitational moment, F is supporting force, F is friction force, and G is gravity.
H G The gravity force arm is also a overturning force arm, and L is the gravity center rotation radius.
As a preferred example of the application, the applicant found through studying the stability thereof that, since the overturning moment is a vector, when the overturning moment M is equal to 0, the air conditioner is in a critical state; when the overturning moment M is positive, the larger the overturning moment M is, the more stable the air conditioner is; when the overturning moment M is negative, the air conditioner is in an unbalanced state;
when the air conditioner is normally placed, the tipping angle alpha at the moment can be obtained, wherein alpha is the included angle formed by the gravity center point, the connecting line of the rotating supporting point and the gravity direction; when H is G When=0, the air conditioner is in a critical state of rollover,
from the trigonometric functions shown in fig. 2, 3, 4, it can be derived that:
① L 2 ＝H 2 +R 2 ；
② tanα＝R/H；
③ Sin(α-θ)＝H G /L；
according to (1) (2) (3), obtain
The applicant further researches the anti-tipping design of the air conditioner, and defines a stability coefficient k according to the ratio of the stability moment to the tipping moment, wherein the stability coefficient k is a reference parameter for judging the stability performance of an object;
as preferable:
stability coefficient: k=m Stability and stability /M Turning over ≥A；
Overturning moment arm: h Turning over ＝H G D is more than or equal to B; wherein M is Stability and stability M is the combined moment received by the air conditioner in a stable state Turning over For the combined moment of the air conditioner in the critical tipping state, A, B is a preset reference value, wherein the stability factor k is a reference parameter of the air conditioner tipping under the action of external force, and the tipping moment arm H Turning over D is the diameter of the base 101, which is a reference parameter for the air conditioner to tip over in a static state;
namely, judging according to the stability relation to obtain a stability relation between the gravity center height H and the radius R of the supporting surface:
the applicant designs a rapid analysis to analyze the stability relation between the gravity center height H of the cabinet air conditioner and the radius R of the supporting surface through analyzing and researching the structure and the stability of the cabinet air conditioner, so that the initial skeleton layout of the product development is facilitated, the development efficiency is improved, the product quality is improved, and the reliability is enhanced.
The applicant combines the supporting principle of rigid-flexible combined overturning moment balance of a hydraulic support of a large-dip fully-mechanized mining face and the safe first part of an electric appliance for application of the hydraulic support and application of the hydraulic support to Wang Guofa, GB/T3811-2008 crane design specifications and GB 4706.1 when researching the design method of the gravity center height and the radius of a supporting face of an air conditioner: the principle and parameter limitation of the overturning moment, the stability relation and the inclination angle in the general requirements Q/AUX J12.02.055-2016 stability and mechanical hazard evaluation method are combined with the concrete structure and parameter limitation of the cabinet air conditioner, and the relation formula of the gravity center height H and the base radius R meeting the stability and anti-overturning of the cabinet air conditioner is obtained through data calculation, so that the initial framework layout of product development is facilitated, the development efficiency is improved, the product quality is improved, and the reliability is enhanced.
As a preferred example of the present invention, A has a value of 1.05 to 1.15; preferably, a=1.11.
As a preferred example of the present invention, the value of B is 0.15 to 0.25; preferably, b=0.2.
As a preferred example of the present invention, the rotation angle θ of the cabinet air conditioner at the time of critical rollover is in the range of 8 ° to 17 °.
As a preferred example of the present invention, a cabinet air conditioner without a heating device is provided, which rotates at an angle θ=10° upon critical rollover; cabinet air conditioner with electric heater, which rotates at critical tipping angle θ=15°.
The design method for the height of the center of gravity of the air conditioner and the radius of the supporting surface can select the applicable preset tipping angle depending on different air conditioning devices, so that the stability relation between the height H of the center of gravity of the cabinet machine and the radius R of the supporting surface is quickly analyzed, the reliability of framework layout development is improved, the material waste caused by overlarge base design is avoided, and the stable and reliable base placement is ensured.
Example 2
The invention discloses a design structure for the stability of the height of the center of gravity of an air conditioner and the radius of a supporting surface, wherein the height of the center of gravity of the air conditioner is H, a base is circularly arranged, the radius of the base is R, the rotation angle of the air conditioner is theta when the air conditioner is in critical tipping, and a tipping moment arm H is formed by the rotation angle of the base Turning over The coefficient of (2) is set as B, and the stability relation between the gravity center height H of the cabinet air conditioner and the radius R of the supporting surface is:
the design structure for the stability of the height of the center of gravity of the air conditioner and the radius of the supporting surface can rapidly analyze the stability relation between the optimal center of gravity position and the supporting surface, so that the initial skeleton layout of the product development is facilitated.
Example 3
The present invention discloses an air conditioner which adopts the design method of the height of the center of gravity of the air conditioner and the radius of the supporting surface as described in the embodiment 1 or has the design structure of the stability of the height of the center of gravity of the air conditioner and the radius of the supporting surface as described in the embodiment 2 when developing the layout.
The foregoing description of the preferred embodiments of the invention is not intended to limit the invention to the precise form disclosed, and any such modifications, equivalents, and alternatives falling within the spirit and scope of the invention are intended to be included within the scope of the invention.
Claims (3)
1. A design structure of the height of the center of gravity of an air conditioner and the radius of a supporting surface is characterized in that the height of the center of gravity of the air conditioner is H, a base is circularly arranged, the radius of the base is R, the rotating angle of the air conditioner is theta when the air conditioner is in critical tipping, and a tipping force arm H is formed Turning over The coefficient of (2) is set to be B, and the design method comprises the following steps:
s1: according to the stable placing state and the tipping of the cabinet air conditionerCalculating the functional relation between the overturning moment M received by the cabinet air conditioner and the gravity center height H of the cabinet air conditioner in a critical state, and obtaining a first function H of the overturning moment arm G ＝f 1 (H，R)；
S2: obtaining a second function H of the overturning moment arm according to the stability relation of normal placement of the cabinet air conditioner G ＝f 2 (H，R)；
In step S2: the stability relation of the cabinet air conditioner is to define a stability coefficient k according to the ratio of the stability moment to the overturning moment, wherein:
stability coefficient: k=m Stability and stability /M Turning over ≥A；
Overturning moment arm: h Turning over ＝H G /d≥B；
Wherein M is Stability and stability M is the combined moment received by the air conditioner in a stable state Turning over For the combined moment of the air conditioner in the critical tipping state, A, B is a preset reference value, wherein the stability factor k is a reference parameter of the air conditioner tipping under the action of external force, and the tipping moment arm H Turning over D is the diameter of the base, which is a reference parameter for the air conditioner to tip over in a static state;
s3: according to the type of the cabinet air conditioner, limiting the maximum angle theta of inclination when the cabinet air conditioner is overturned;
when the air conditioner is normally placed, the tipping angle alpha at the moment can be obtained, wherein alpha is the included angle formed by the gravity center point, the connecting line of the rotating supporting point and the gravity direction;
in the critical rollover state of the air conditioner, the combined moment received by the air conditioner is M= Σfh=m F +M f +M G ＝F×0+f×0+G×H G ；M F To support moment M f For friction moment, M G Gravitational moment, F is supporting force, F is friction force, G is gravity, H G To topple the arm;
combining trigonometric function relation of normal placement and critical tipping state of air conditioner to obtain first function of tipping moment armWherein L is the center radius of rotation;
s4: and combining the relational expressions in S1, S2 and S3, and obtaining a relational solution of the gravity center height H and the base radius R through mathematical calculation, wherein the relation between the gravity center height H of the cabinet air conditioner and the radius R of the supporting surface meets the following conditions:
the value of B is 0.15-0.25, and the value range of the rotating angle theta of the cabinet air conditioner during critical tipping is 8-17 degrees.
2. The structure according to claim 1, wherein the cabinet air conditioner without the electric heater has a critical tilting rotation angle θ=10°; cabinet air conditioner with electric heater, which rotates at critical tipping angle θ=15°.
3. An air conditioner, characterized in that the air conditioner adopts the design structure of the height of the center of gravity of the air conditioner and the radius of a supporting surface according to claim 1 or 2 when developing layout.
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