CN109815575B - Simplified three-fold-line restoring force calculation method applied to novel energy consumption node - Google Patents
Simplified three-fold-line restoring force calculation method applied to novel energy consumption node Download PDFInfo
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Abstract
The invention provides a simplified three-fold line restoring force calculation method applied to a novel energy consumption node, which comprises the following steps of: determining parameters of an energy consumption plate of the node; calculating the elastic rigidity and the elastic limit corner of the node according to the structure of the node and the obtained characteristic value parameter; inputting a coefficient relation between an inflection point corner and an elastic limit corner according to a regression analysis result so as to obtain a yield corner, a peak corner and a limit corner value; the rigidity before yielding is equal to the elastic rigidity to obtain the yielding bending moment; inputting a fitting formula of peak bending moment and ultimate bending moment; determining the yield stiffness and the descent stiffness of the node; and determining a restoring force model of the node according to the characteristic values. The invention effectively simplifies the framework model of the novel energy consumption node, deduces the rigidity and each characteristic point parameter of the same type of node applied to different sizes, and is beneficial to further popularization and application of the energy consumption node.
Description
Technical Field
The invention relates to the field of civil engineering, in particular to a simplified three-fold line restoring force calculation method applied to a novel energy consumption node.
Background
At present, the civil engineering industry mainly uses high-energy-consumption building materials such as concrete, steel bars, building blocks and the like, not only consumes a large amount of energy and natural resources, but also destroys land and discharges a large amount of industrial waste gas and dust, thus causing huge pressure on the limited natural environment.
As a novel energy-saving, ecological, environment-friendly, high-performance and low-cost building material, the engineering bamboo material eliminates or uniformly disperses the defects of the original bamboo material, reduces the variability of the material and improves the reliability of the material. However, because the bamboo wood material has large creep deformation, the vertical stress component can generate large deformation under the action of long-term load and generate large internal force, so that the application of the bamboo wood structure in high-rise buildings is limited to a certain extent. The medium steel-engineering bamboo combined frame structure is provided, and the problem of overlarge creep of a vertical stressed member in a bamboo structure can be effectively solved through the structural form of a steel column-a wood beam, and the advantages of energy conservation, environmental protection and small self weight of the glued bamboo are fully exerted.
The connection of the steel column and the wood beam is connected through a designed novel energy consumption node, as shown in fig. 2, the energy consumption node is composed of a bottom plate, a rib plate, an energy consumption plate, a shear bolt and a shear key. The energy dissipation plate is connected with the rib plate through an fillet weld; the ribbed slab is connected with the shear key through a high-strength bolt; the bottom plate is connected with the energy consumption plate and the shear key through fillet welds, wherein the energy consumption plate is mainly used for transmitting bending moment and energy consumption, and the shear key is used for transmitting shear force. The bamboo beam and the node rib plate, and the steel column and the node bottom plate are connected through bolts. The three-fold line restoring force model which can be popularized and applied to energy consumption nodes of different sizes is provided on the basis of the existing horizontal low-cycle reciprocating load test data of the novel energy consumption nodes.
Disclosure of Invention
The purpose of the invention is as follows: in order to solve the technical problems, the invention provides a simplified three-fold line restoring force calculation method applied to a novel energy consumption node.
The technical scheme is as follows: the invention discloses a simplified three-fold line restoring force calculation method applied to a novel energy consumption node, which comprises the following steps of:
s1: determining the width b of the energy consumption plate, the length l of the energy consumption plate, the thickness t of the energy consumption plate, the distance h between the two energy consumption plates, the elastic modulus E of the steel and the yield strength fyAnd ultimate strength fu；
S2: calculating the elastic rigidity and the elastic limit rotation angle of the node according to the structure of the node and the characteristic value parameters obtained in the step S1;
s3: inputting a coefficient relation between an inflection point corner and an elastic limit corner according to a regression analysis result so as to obtain a yield corner, a peak corner and a limit corner value;
s4: the rigidity before yielding is equal to the elastic rigidity to obtain the yielding bending moment;
s5: inputting a fitting formula of peak bending moment and ultimate bending moment according to a finite element simulation fitting result;
s6: determining the yield stiffness and the descent stiffness of the node through calculation formulas of the peak corner, the limit corner, the peak bending moment and the limit bending moment obtained in S3, S4 and S5;
s7: and determining a restoring force model of the node according to the characteristic values.
Further, in step S2, according to the stress model of the node, the elastic yield bending moment M of the node is obtainedEAnd initial bending stiffness KEAs shown in formulas (1) and (2), respectively:
ME＝fybt(h+t) (1)
in the formula (2), ΔyieldThe displacement of the energy dissipation plate when the node is yielding;
when the node works in the elastic range, the displacement of the energy consumption plate at the moment is represented by the formula (3):
Δ＝σl/E (3)
in the formula (3), sigma is the stress of the energy dissipation plate, l is the length of the energy dissipation plate, and E is the elastic modulus of the energy dissipation plate;
when the yield strength of the energy dissipation plate is reached, delta can be obtainedyield＝fyl/E, bringing them into the formulae (1) and (2) to obtain the ultimate elastic rotation angle thetaEAnd initial bending stiffness KE：
Further, in step S3, the yield angle θ is determined by regression analysis of the existing test datayAngle of rotation theta with respect to elasticityERatio α of1Peak angle of rotation thetapAngle of rotation theta with respect to elasticityERatio α of2Limit rotation angle thetauAngle of rotation theta with respect to elasticityERatio α of3Can obtain thetay＝α1θE＝0.85θE；θp＝α2θE＝2.07θE；θu＝α3θE＝2.91θE。
Further, in step S4, let K1＝KEObtaining:
My＝K1θy＝0.85KEθE(6)。
further, in step S5, a peak bending moment M is obtained through finite element simulation fitting resultspFitting formula and ultimate bending moment Mu：
Mp＝ξfubt(h+t)
Mu＝0.85Mp
Where λ l/t, ξ is the ratio of the peak bending moment to the full section yield bending moment.
Further, the yield stiffness and the descent stiffness of the node are determined by the calculation formulas of the peak corner, the limit corner, the peak bending moment and the limit bending moment obtained in the steps S3, S4 and S5:
K1＝KE
further, three characteristic value points (θ) are obtained according to the steps S1-S6y，My)，(θp，Mp) And (theta)u，Mu) The model of the three-fold line restoring force of the node determined in conjunction with the origin is shown in FIG. 3. The expression is as follows:
has the advantages that: the invention has the following beneficial effects:
the invention effectively simplifies the framework model of the novel energy consumption node, deduces the rigidity and each characteristic point parameter of the same type of node applied to different sizes, and is beneficial to further popularization and application of the energy consumption node.
Drawings
FIG. 1 is a flow chart of a method of constructing a simplified tri-fold restoring force model in accordance with the present invention;
FIG. 2 is a schematic structural diagram of a novel energy consumption node;
FIG. 3 is a schematic diagram of a model of restoring force in the present invention.
Detailed Description
The technical solution of the present invention will be further described with reference to the following detailed description and accompanying drawings.
As shown in fig. 1, the simplified three-fold line restoring force calculation method applied to a novel energy consumption node of the present invention includes the following steps:
s1: determining the width b of the energy consumption plate, the length l of the energy consumption plate, the thickness t of the energy consumption plate, the distance h between the two energy consumption plates, the elastic modulus E of the steel and the yield strength fyAnd ultimate strength fu；
S2: calculating the elastic rigidity and the elastic limit rotation angle of the node according to the structure of the node and the characteristic value parameters obtained in the step S1;
s3: inputting a coefficient relation between an inflection point corner and an elastic limit corner according to a regression analysis result so as to obtain a yield corner, a peak corner and a limit corner value;
s4: the rigidity before yielding is equal to the elastic rigidity to obtain the yielding bending moment;
s5: according to the finite element simulation fitting result, a fitting formula of peak bending moment and ultimate bending moment can be input;
s6: determining the yield stiffness and the descent stiffness of the node through calculation formulas of the peak corner, the limit corner, the peak bending moment and the limit bending moment obtained in S3, S4 and S5;
s7: and determining a restoring force model of the novel energy consumption node according to the characteristic values.
In step S2, according to the stress model of the node, the elastic yield bending moment M of the node is obtainedEAnd initial bending stiffness KEAs shown in formulas (1) and (2), respectively:
ME＝fybt(h+t) (1)
in the formula (2), ΔyieldThe displacement of the energy dissipation plate when the node is yielding;
when the node works in the elastic range, the displacement of the energy consumption plate at the moment is represented by the formula (3):
Δ＝σl/E (3)
in the formula (3), sigma is the stress of the energy dissipation plate, l is the length of the energy dissipation plate, and E is the elastic modulus of the energy dissipation plate;
when the yield strength of the energy dissipation plate is reached, delta can be obtainedyield＝fyl/E, bringing them into the formulae (1) and (2) to obtain the ultimate elastic rotation angle thetaEAnd initial bending stiffness KE：
In step S3, the yield angle θ is determined by regression analysis of existing test datayAngle of rotation theta with respect to elasticityERatio α of1Peak angle of rotation thetapAngle of rotation theta with respect to elasticityERatio α of2Limit rotation angle thetauAngle of rotation theta with respect to elasticityERatio α of3，
Can obtain thetay＝α1θE＝0.85θE；θp＝α2θE＝2.07θE；θu＝α3θE＝2.91θE。
In step S4, let K1＝KEObtaining:
My＝K1θy＝0.85KEθE(6)。
in step S5, the peak bending moment M is obtained through finite element simulation fitting resultspFitting formula and ultimate bending moment Mu：
Mp＝ξfubt(h+t)
Mu＝0.85Mp
Where λ l/t, ξ is the ratio of the peak bending moment to the full section yield bending moment.
Determining the yield stiffness and the descent stiffness of the node through the calculation formulas of the peak corner, the limit corner, the peak bending moment and the limit bending moment obtained in the steps S3, S4 and S5:
K1＝KE
three feature value points (θ) obtained according to the steps S1-S6y，My)，(θp，Mp) And (theta)u，Mu) The model of the three-fold line restoring force of the node determined in conjunction with the origin is shown in FIG. 3. The expression is as follows:
Claims (3)
1. a simplified three-fold line restoring force calculation method applied to a novel energy consumption node is characterized by comprising the following steps:
s1: determining the width b of the energy consumption plate, the length 1 of the energy consumption plate, the thickness t of the energy consumption plate, the distance h between the two energy consumption plates, the elastic modulus E of steel and the yield strength fyAnd ultimate strength fu；
S2: calculating the elastic stiffness and the elastic limit rotation angle of the node according to the structure of the node and the characteristic value parameters obtained in the step S1, specifically as follows:
obtaining the elastic yield bending moment M of the node according to the stress model of the nodeEAnd initial bending stiffness KEAs shown in formulas (1) and (2), respectively:
ME＝fybt(h+t) (1)
in the formula (2), ΔyieldThe displacement of the energy dissipation plate when the node is yielding;
when the node works in the elastic range, the displacement of the energy consumption plate at the moment is represented by the formula (3):
Δ＝σl/E (3)
in the formula (3), sigma is the stress of the energy dissipation plate, 1 is the length of the energy dissipation plate, and E is the elastic modulus of the energy dissipation plate;
when the yield strength of the energy dissipation plate is reached, delta can be obtainedyield＝fyl/E, bringing them into the formulae (1) and (2) to obtain the ultimate elastic rotation angle thetaEAnd initial bending stiffness KE：
S3: inputting a coefficient relation between an inflection point corner and an elastic limit corner according to a regression analysis result so as to obtain a yield corner, a peak corner and a limit corner value;
s4: the rigidity before yielding is equal to the elastic rigidity to obtain the yielding bending moment;
s5: inputting a fitting formula of peak bending moment and ultimate bending moment according to a finite element simulation fitting result, wherein the fitting formula comprises the following specific steps:
obtaining peak bending moment M through finite element simulation fitting resultpFitting formula and ultimate bending moment Mu：
Mp＝ξfubt(h+t)
Mu＝0.85Mp
Wherein λ l/t, ξ is the ratio of the peak bending moment to the full-section yield bending moment;
s6: determining the yield stiffness and the descent stiffness of the node through the calculation formulas of the peak corner, the limit corner, the peak bending moment and the limit bending moment obtained in S3, S4 and S5:
K1＝KE
s7: three feature value points (θ) obtained according to the steps S1-S6y，My)，(θp，Mp) And (theta)u，Mu) Combining an origin to determine a three-fold line restoring force calculation method of the node, the expression is as follows:
wherein theta isyTo yield angle of rotation, thetapIs the peak angle of rotation, θuIs the limit rotation angle.
2. The simplified three-fold line restoring force calculation method applied to the novel energy consumption node as claimed in claim 1, wherein: in step S3, the yield angle θ is determined by regression analysis of existing test datay and elastic angle of rotation thetaERatio α 1, peak rotation angle θpAngle of rotation theta with respect to elasticityERatio α of2Limit rotation angle thetauAngle of rotation theta with respect to elasticityERatio α of3Can obtain thetay＝
α1θE＝0.85θE；θp＝α2θE＝2.07θE；θu＝α3θE＝2.91θE。
3. The simplified three-fold line restoring force calculation method applied to the novel energy consumption node as claimed in claim 1, wherein: in step S4, let K1＝KEObtaining:
My＝K1θy＝0.85KEθE(6)。
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