JP2015201043A - Viscous damper specification determination support device and program - Google Patents

Abstract

PROBLEM TO BE SOLVED: To provide a support device and program which determines a specification of a viscous damper suitable for a structure model.SOLUTION: A viscous damper specification determination support device determines a structure model on the basis of user's input in S1, determines an arrangement position of a viscous damper in the structure model in S2, and assumes internal rigidity Kof the viscous damper, which is inputted by the user, as a fixed value in S3. Next, the device uses the fixed value assumed in S3 and a damping coefficient cof the viscous damper, which is inputted by the user, to calculate a real eigenvalue λ' in S4, and uses the calculated real eigenvalue λ' to update the damping coefficient cof the viscous damper in S6. In the case of processing of S4 from the second time on, the real eigenvalue λ' calculated by real eigenvalue calculation means in the processing of S4 and the real eigenvalue λ' calculated in the previous processing in S4 are displayed in S7 so that the two values can be compared.

Description

  The present invention relates to an apparatus for supporting specification determination of a viscous damper.

  A viscous damper is installed as an energy absorption mechanism that regulates the damping coefficient as in the additional mass seismic building shown in Patent Document 1 below. However, a method for determining the specifications of the internal stiffness and damping coefficient of the viscous damper installed in the structure has not been established yet, and the actual situation is that it is determined by trial and error while performing an earthquake response analysis.

JP 2011-38294 A

  For this reason, viscous dampers were not arranged in consideration of energy absorption efficiency, etc., and were installed in a place that could be arranged in the architectural plan. In addition, even though it can be confirmed that the response can be reduced with the damper specification determined using response analysis, it is confirmed whether the reduction effect is the maximum and whether energy is efficiently absorbed. It wasn't done.

  This invention is made | formed in view of such a subject, and it aims at providing the viscous damper specification determination assistance apparatus and program which can solve the said subject.

該実数固有値算出手段が実数固有値λ_ｋ’を算出する度に算出した実数固有値λ_ｋ’を用いて式（３）の演算を実行し、粘性ダンパーの減衰係数ｃ_ｄを更新する減衰係数更新手段と、

前記実数固有値算出手段が算出した実数固有値λ_ｋ’を比較表示する比較表示手段と、
を備えることを特徴とする。
また、本発明の粘性ダンパー仕様決定支援装置は、構造物の減衰性能が最大となる粘性ダンパーの仕様決定を支援する粘性ダンパー仕様決定支援装置であって、
構造物モデル中での粘性ダンパーの配置位置を決定するダンパー位置決定手段と、
粘性ダンパーの減衰係数ｃ_ｄを固定値として仮定する固定値仮定手段と、
該固定値仮定手段が仮定した固定値及び粘性ダンパーの内部剛性ｋ_ｄ用いて構成される構造物モデルの状態行列Ａについて、式（１）の演算を実行して式（２）で示される実数固有値λ_ｋ’を繰り返し算出する実数固有値算出手段と、

該実数固有値算出手段が実数固有値λ_ｋ’を算出する度に算出した実数固有値λ_ｋ’を用いて式（４）の演算を実行し、粘性ダンパーの内部剛性ｋ_ｄを更新する内部剛性更新手段と、

前記実数固有値算出手段が算出した実数固有値λ_ｋ’を比較表示する比較表示手段と、
を備えることを特徴とする。
また、本発明のプログラムは、コンピュータを、
構造物の減衰性能が最大となる粘性ダンパーの仕様決定を支援する粘性ダンパー仕様決定支援装置であって、
構造物モデル中での粘性ダンパーの配置位置を決定するダンパー位置決定手段と、
粘性ダンパーの内部剛性ｋ_ｄを固定値として仮定する固定値仮定手段と、
該固定値仮定手段が仮定した固定値及び粘性ダンパーの減衰係数ｃ_ｄ用いて構成される構造物モデルの状態行列Ａについて、式（１）の演算を実行して式（２）で示される実数固有値λ_ｋ’を繰り返し算出する実数固有値算出手段と、

該実数固有値算出手段が実数固有値λ_ｋ’を算出する度に算出した実数固有値λ_ｋ’を用いて式（３）の演算を実行し、粘性ダンパーの減衰係数ｃ_ｄを更新する減衰係数更新手段と、

前記実数固有値算出手段が算出した実数固有値λ_ｋ’を比較表示する比較表示手段とを備える粘性ダンパー仕様決定支援装置して機能させることを特徴とする。
また、本発明のプログラムは、コンピュータを、
構造物の減衰性能が最大となる粘性ダンパーの仕様決定を支援する粘性ダンパー仕様決定支援装置であって、
構造物モデル中での粘性ダンパーの配置位置を決定するダンパー位置決定手段と、
粘性ダンパーの減衰係数ｃ_ｄを固定値として仮定する固定値仮定手段と、
該固定値仮定手段が仮定した固定値及び粘性ダンパーの内部剛性ｋ_ｄ用いて構成される構造物モデルの状態行列Ａについて、式（１）の演算をして式（２）で示される実数固有値λ_ｋ’を繰り返し算出する実数固有値算出手段と、

該実数固有値算出手段が実数固有値λ_ｋ’を算出する度に算出した実数固有値λ_ｋ’を用いて式（４）の演算を実行し、粘性ダンパーの内部剛性ｋ_ｄを更新する内部剛性更新手段と、

前記実数固有値算出手段が算出した実数固有値λ_ｋ’を比較表示する比較表示手段とを備える粘性ダンパー仕様決定支援装置して機能させることを特徴とする。 In order to achieve such an object, the viscous damper specification determination support device of the present invention is:
A viscous damper specification determination support device that supports specification determination of a viscous damper that maximizes the damping performance of a structure,
Damper position determining means for determining an arrangement position of the viscous damper in the structure model;
Fixed value assumption means for assuming the internal rigidity k _d of the viscous damper as a fixed value;
Fixed value solid value assumed means is assumed and the state matrix A of the structure model constructed using the damping coefficient c _d viscous damper, real number represented by the formula (2) by the operation of Equation (1) Real number eigenvalue calculating means for repeatedly calculating eigenvalue λ _k ′;

Performing the operation of the expression (3) using the _'real eigenvalues lambda _k calculated every time to calculate _the' said actual number eigenvalue calculation means real eigenvalues lambda _k, the attenuation coefficient updating means for updating the damping coefficient c _d viscous damper When,

Comparison display means for comparing and displaying the real eigenvalue λ _k ′ calculated by the real eigenvalue calculation means;
It is characterized by providing.
Further, the viscous damper specification determination support device of the present invention is a viscous damper specification determination support device that supports the specification determination of the viscous damper that maximizes the damping performance of the structure,
Damper position determining means for determining an arrangement position of the viscous damper in the structure model;
Assuming a fixed value assuming means the damping coefficient c _d viscous damper as a fixed value,
Fixed value solid value assumed means is assumed and the internal stiffness k _d state matrix A of the structure model constructed using the viscous damper, real number represented by the formula (2) by performing the operation of the expression (1) Real number eigenvalue calculating means for repeatedly calculating eigenvalue λ _k ′;

Performing the operation of the expression (4) using the _'real eigenvalues lambda _k calculated every time to calculate _the' said actual number eigenvalue calculation means real eigenvalues lambda _k, internal rigid updating means for updating the internal stiffness k _d viscous damper When,

Comparison display means for comparing and displaying the real eigenvalue λ _k ′ calculated by the real eigenvalue calculation means;
It is characterized by providing.
The program of the present invention is a computer,
A viscous damper specification determination support device that supports specification determination of a viscous damper that maximizes the damping performance of a structure,
Damper position determining means for determining an arrangement position of the viscous damper in the structure model;
Fixed value assumption means for assuming the internal rigidity k _d of the viscous damper as a fixed value;
Fixed value solid value assumed means is assumed and the state matrix A of the structure model constructed using the damping coefficient c _d viscous damper, real number represented by the formula (2) by performing the operation of the expression (1) Real number eigenvalue calculating means for repeatedly calculating eigenvalue λ _k ′;

Performing the operation of the expression (3) using the _'real eigenvalues lambda _k calculated every time to calculate _the' said actual number eigenvalue calculation means real eigenvalues lambda _k, the attenuation coefficient updating means for updating the damping coefficient c _d viscous damper When,

It is made to function as a viscous damper specification determination support device including comparison display means for comparing and displaying the real number eigenvalue λ _k ′ calculated by the real number eigenvalue calculation means.
The program of the present invention is a computer,
A viscous damper specification determination support device that supports specification determination of a viscous damper that maximizes the damping performance of a structure,
Damper position determining means for determining an arrangement position of the viscous damper in the structure model;
Assuming a fixed value assuming means the damping coefficient c _d viscous damper as a fixed value,
For the state matrix A of the structure model configured by using the fixed value assumed by the fixed value assumption means and the internal stiffness k _{d of the} viscous damper, the real number eigenvalue represented by the expression (2) is calculated by the expression (1). real number eigenvalue calculating means for repeatedly calculating λ _k ′;

Performing the operation of the expression (4) using the _'real eigenvalues lambda _k calculated every time to calculate _the' said actual number eigenvalue calculation means real eigenvalues lambda _k, internal rigid updating means for updating the internal stiffness k _d viscous damper When,

It is made to function as a viscous damper specification determination support device including comparison display means for comparing and displaying the real number eigenvalue λ _k ′ calculated by the real number eigenvalue calculation means.

According to the present invention, by repeating the calculation of the real eigenvalues lambda _{k 'while} updating the damping coefficient c _d or internal stiffness k _d viscous damper disposed in the structure model, comparing displays the calculated results, the structure The specification of the viscous damper suitable for the object model can be determined.

It is a figure which shows the viscous damper specification determination assistance apparatus of 1st Embodiment of this invention. It is the figure which simulated the damper element with the Maxwell element. It is a flowchart which shows the procedure which determines the specification of a viscous damper. It is a figure which shows the frame model used for the analysis. It is a figure which shows the cross-sectional secondary moment of the column and beam in the frame model of FIG. It is a figure which shows the stimulation function of the horizontal direction obtained from the eigenvalue analysis of the non-attenuation in the frame model of FIG. It is a figure which shows the installation position of the viscous damper with respect to the frame model of FIG. 4, and the characteristic of the installed viscous damper. It shows a viscous damping constant _{h j} of case1. It shows a viscous damping constant _{h j} of case2. It is a figure which shows the relationship between real number eigenvalue (lambda) _k 'of Case1, real number eigenvalue (lambda) _k ', and natural circular frequency (omega) _j . It is a figure which shows the relationship between real number eigenvalue (lambda) _k 'of Case2, real number eigenvalue (lambda) _k ', and natural circular frequency (omega) _j . It is a figure which shows the change of characteristic value hM _{, j} obtained from the calculation result of the viscous damper specification determination assistance apparatus 1. FIG. Damping coefficient of the viscous damper is calculated by the viscous damper specification determination assisting device 1 c _d, and a diagram showing the viscous damping constant h _j framework model calculated on the basis of the specifications of the resulting viscous damper. It is a diagram showing a combination of a damping coefficient c _d viscous damper when the viscous damping constant h _j is the peak in case1. It is a figure which shows the viscous damper specification determination assistance apparatus of 2nd Embodiment of this invention. It is a flowchart which shows the procedure which determines the specification of a viscous damper with the apparatus of FIG.

Hereinafter, a first embodiment of the present invention will be described with reference to the accompanying drawings.
FIG. 1 is a block diagram showing an outline of the configuration of the viscous damper specification determination support device 1 of the present embodiment.

The viscous damper specification determination support device 1 is a device that supports the determination of the specification of the viscous damper that maximizes the damping performance of the structure. As shown in FIG. 1, the viscous damper specification determination support device 1 includes a structure model determination unit 2 that determines a structure model, a damper position determination unit 3 that determines an arrangement position of the viscous damper in the structure model, and , assuming a fixed value assuming unit 4 inside stiffness k _d viscous damper as a fixed value, the real eigenvalue calculation means repeatedly calculates the real eigenvalues lambda _{k 'using} the internal stiffness k _d and the damping coefficient c _d viscous damper 5 If, _'and the damping coefficient updating means 6 based on updating the damping coefficient c _d viscous damper, real eigenvalues lambda _k the real eigenvalues calculating unit 5 was repeated _calculated' real eigenvalues lambda _k calculated so that the user can compare And comparison display means 7 for displaying.

The structure model determination means 2 determines a structure model based on a user input. The structure model is determined based on information input to the user, such as the structure hierarchy, floor height, column and beam cross-sectional second moments, and mass of each layer. The damper position determining means 3 determines the installation hierarchy and the arrangement position of the viscous damper in the structure model such as the plane frame model by the user input. Fixed value assuming unit 4 assumes the internal stiffness k _d viscous damper that is input to the user as a fixed value.

Real eigenvalue calculating unit 5, the state matrix A of the structure model constructed using the damping coefficient c _d viscous damper that is input to a fixed value and user fixed value assuming unit 4 is assumed, the following equation (1) The real eigenvalue λ _k ′ represented by the following equation (2) is repeatedly calculated.

Damping coefficient updating means 6 is real eigenvalue calculation means 5 using the _'real eigenvalues lambda _k calculated every time to calculate _the' real eigenvalues lambda _k performs an operation of the following equation (3), the real eigenvalue calculating unit 5 There updating the damping coefficient c _d viscous damper used in the calculation of the above formula (1).

  Hereinafter, the relationship between the above formulas (1) to (3) used for calculation in the processing of the viscous damper specification determination support device 1 and the configuration of the structure model including the viscous damper will be described.

  FIG. 2 is a diagram simulating a damper element with a Maxwell element. The equation of motion in the axial direction of the damper element shown in FIG. 2 can be expressed as the following equation (5) taking into account the input displacement to the dashpot portion.

である。 here,

It is.

  In FIG. 2, since the viscous damper itself is simulated, no mass is provided at the coupling point d between the dashpot and the spring coupled in series. This is because the influence of the damper element on the performance of the entire structure can be clearly understood by handling the damper part as a primary element without defining the mass at the connection point. In addition, what is necessary is just to provide a connection member and mass in the node i or the node j of FIG.

に対するＭａｘｗｅｌｌ要素を含んだ構造物全体の状態方程式が下記の式（６）として得られる。 When the element matrix of equation (5) is added to the matrix of the entire structure, the ground motion acceleration

The equation of state of the entire structure including the Maxwell element is obtained as the following equation (6).

here,

である。

It is.

Incidentally, _k d in the above equation _(6), k _{d1, k d2} and _{c d} is the internal stiffness _{k d} and the damping coefficient _{c d} of the damper installed fraction Maxwell element, the above equation (5) as a reference Represents a matrix.

_ｊの固有値と実数解λ_ｋ’の固有値（実数固有値λ_ｋ’）が求められる。なお、上記式中のｒは固有ベクトルを表している。 If δ = re ^λt , the eigenvalue problem represented by the above equation (1) can be configured. When the calculation of the above formula (1) is executed, the conjugate complex number λ _j , shown in the following formula (7),

The eigenvalue of _{j and} the eigenvalue of the real solution λ _k ′ (real eigenvalue λ _k ′) are obtained. Note that r in the above formula represents an eigenvector.

_ｊ，の固有値は、構造物全体のj次固有値である。このため、通常の複素固有値問題と同様に、これらの共役複素数λ_ｊ，

_ｊの和と積よりシステム全体のj次粘性減衰定数h_ｊおよび固有円振動数ω_ｊが求められる。 The conjugate complex number λ _j in the above equation (7),

_j, eigenvalues, j next eigenvalue of the overall structure. Thus, similar to the usual complex eigenvalue problem, these conjugate complex numbers λ _j ,

_From the sum and product of j, the j-th order viscous damping constant h _j and the natural circular frequency ω _{j of the} entire system are obtained.

The real number eigenvalue λ _k ′ is obtained by the number of viscous dampers installed. When the real number eigenvalue λ _k ′ is divided by the j-th order natural circular frequency ω _j , the dimensionless characteristic value h _{M, j} is extracted. By judging the magnitude of the characteristic value hM _{, j} , it is possible to grasp the effect of the kth viscous damper on the jth vibration mode.

When the characteristic value h _{M, j} = 1, the natural circular frequency ω _{j of} the j-th order vibration mode coincides with the real number eigenvalue λ _k ′, and the energy absorption effect is the highest for the j-th order vibration mode. . As described later, the real eigenvalues lambda _{k 'represents} a monotonic with respect to the change of the damping coefficient c _d, change in the natural circular frequency [omega _j is very small. For this reason, the calculation of the above formula (3) is executed so that the characteristic value h _{M, j} converges to “1” (the natural circular frequencies ω _j and λ _k ′ of the j-th order vibration mode have the same value. vol) damping coefficient updating means 6 updates the damping coefficient c _d, real eigenvalue calculation means 5 based on the updated damping coefficient c _d repeatedly executes the operations of the above formula (1).

  Next, a procedure for determining the specification of the viscous damper using the viscous damper specification determining support device 1 will be described. FIG. 3 is a flowchart showing a procedure for determining the specifications of the viscous damper.

In the specification process of the viscous damper, first, the structure model determining means 2 determines a structure model based on a user input (S1). Next, the damper position determining means 3 determines the arrangement position of the viscous damper in the structure model determined in S1 based on the user input (S2). Then, fixed value assuming unit 4 assumes the internal stiffness k _d viscous damper that is input by the user as a fixed value (S3). When the process of S1~S3 is executed, the real intrinsic value calculation unit 5 calculates the real eigenvalues lambda _{k 'using} the damping coefficient c _d viscous damper that is input by a fixed value and users that are assumed in S3 ( S4).

Next, the attenuation coefficient updating means 6 determines whether or not the process of S4 is the first time (S5). If the process is the first time and the determination of S5 is YES, the real number eigenvalue calculating means 5 calculates. updating the damping coefficient c _d viscous damper using a real eigenvalues lambda _{k 'was} (S6). Thereafter, the process returns to S4, the calculation of the real eigenvalues lambda _{k 'is} performed using the damping coefficient c _d updated viscous damper.

On the other hand, if the process of S4 is the second time or later and the determination of S5 is NO, the comparison display means 7 uses the real eigenvalue λ _k ′ calculated by the real eigenvalue calculation means 5 in the process of S4 and the previous process of S4. The calculated real number eigenvalue λ _k ′ is displayed so that it can be compared (S7). The user who confirmed this comparison display, the change in the difference between the real real eigenvalues calculated by the eigenvalue calculating unit 5 lambda _{k 'the} real eigenvalues lambda _k calculated in the processing of the previous _S4' in the process of S4 is, it Whether the characteristic value h _{M, j} is converged to “1” is judged (S8).

Users characteristic value h _{M, j} is determined to converge to "1", the damping coefficient of the viscous damper c _d and the internal stiffness k _d used in the processing of S4, determined as a specification of the viscous damper. As a result, the damping coefficient damping coefficient c _d updated by the damping coefficient updating means 6 and the internal rigidity k _d of the viscous damper determined as a fixed value by the fixed value assumption means 4 are determined as the specifications of the viscous damper. The

Users who determine the specification of the viscous damper, the viscous damping constant to calculate the viscous damping constant h _j of the structure model based on the internal stiffness k _d and the damping coefficient c _d viscous damper that is determined as a specification of the viscous damper was calculated h It is determined whether _j has reached the design target (S9).

When the structure viscous damping constant h _j models have reached the design target determination S9 is YES, it can be confirmed that the design objectives are achieved by the specification of the viscous damper is determined by S8.

If the viscous damping constant h _j of the structure model does not reach the design target and the determination of S9 is NO, the user sets the arrangement position of the viscous damper determined in S2 or the fixed value assumed in S3. change. Thereafter, the processes after S4 are repeatedly executed using the changed value.

  According to the present embodiment, the calculation of the real eigenvalue is repeated while updating the damping coefficient of the viscous damper arranged in the structure model, and the change in the calculation result is compared and displayed, whereby the viscous damper suitable for the structure model is displayed. The specifications can be determined.

  Next, the result of applying the complex eigenvalue analysis to the planar frame model will be described.

  FIG. 4 is a diagram showing a skeleton model used for complex eigenvalue analysis. The framework model in FIG. 4 is a 15-layer model assuming a steel frame. In this frame model, the floor height of one layer is 6 m, and the floor height of the other layers is 4 m. The length of the center span is 6 m, and the length of the left and right spans is 12 m.

FIG. 5 is a diagram showing the cross-sectional second moments of columns and beams in the frame model of FIG.
The axial rigidity of each beam is treated as rigid, and the mass is 100 ton for each layer, and is distributed to each mass point.

  FIG. 6 is a diagram illustrating a horizontal stimulation function obtained from the non-attenuating eigenvalue analysis in the frame model of FIG. The natural period in the horizontal direction was 1.60 seconds for the first order, 0.54 seconds for the second order, and 0.31 seconds for the third order.

When the characteristic of the viscous damper installed in the frame model of FIG. 4 changes, it was investigated what change the viscous damping constant h _j of the structure shows. The viscous dampers were installed in the 1st, 8th, and 15th layers of the center span as shown in FIG. 7 (a).

Internal stiffness k _d and the damping coefficient c _d of the installed viscous dampers framework model has a value shown in FIG. 7 (b). As shown in FIG. 7 (b), the distribution of the attenuation coefficient c _d is the Case1 set to be close to the design for layer shear force distribution determined from Ai distribution was the same value for all three layers for comparison Case 2 was set.

Under such conditions, first, the change in the viscous damping constant h _j skeleton model, a fixed value the internal stiffness k _d of each viscous damper, n times the value shown in FIG. 7 (b) the damping coefficient c _d The analysis was performed by changing to (n = 1 to 30). Here, the mounting member rigidity was not taken into consideration, and it was installed so as to act on the horizontal relative speed between the joint nodes of the column beam.

FIG. 8 shows the result of obtaining the viscosity damping constant h _j of Case 1, and FIG. 9 shows the result of obtaining the viscosity damping constant h _j of Case 2.

From the comparison of both figures, the maximum value of the first to third order viscous damping constants h _j is substantially the same in Case 1 and Case 2, and the maximum value of the viscous damping constant h _j is the magnitude of the internal stiffness k _d. You can see again that it depends. Therefore, the internal stiffness k _d viscous damper assumes a fixed value by a fixed value assuming unit 4, it is seen preferable to perform the calculation by real eigenvalue calculating unit 5.

Next, FIG. 10 and FIG. 11 show the results of examining changes in the real eigenvalue λ _k ′ indicating the characteristics of the viscous damper obtained by this analysis and the natural circular frequency ω _j from the first order to the third order. FIG. 10 shows the result of Case 1, and FIG. 11 shows the result of Case 2.
The real eigenvalues λ _k ′ shown in both figures are obtained by the same number as the number of viscous dampers installed, and subscripts 1 to 3 are added in descending order of absolute values.

From both figures, the real eigenvalues lambda _{k 'It} can be seen that asymptotically to zero with increasing attenuation coefficient c _d. Real eigenvalues lambda _{k 'is} a reflection of the ratio of k _{d /} c _d is a characteristic of the Maxwell type viscous damper, are taken into account the influence of the members rigid structure which is placed inside a rigid k _d viscous damper eigenvalues It was sought as a result of the problem.

10 and 11, when gradually increasing the only damping coefficient c _d real eigenvalues lambda _{k 'it} can be seen that the asymptotically to zero. The real eigenvalue λ _k ′ corresponds to the reciprocal of the time constant of the first-order system of the viscous damper, and is also a value representing the characteristic that the response convergence time in the impulse response is faster as the absolute value is larger. In Case 1, the three viscous dampers have the same ratio, whereas in Case 2, the values differ depending on the installation layer. Therefore, FIG. 11 shows the value of one layer of damper as a representative. Compared to the values of the real eigenvalues λ _{k 'none} of the cases it can be seen that more of the damper of k _{d /} c _d is a big value. This is because the influence of the stiffness of the damper around the frame as a result of being reflected in the k _d, have been sought as a real eigenvalues lambda _{k 'value} of k d _/ c _d is decreased.

Next, under similar conditions, the three kinds of combinations of the attenuation coefficient c _d which the value of the primary to 3 following items viscous damping constant h _j is as large as possible, determined by the viscosity damper specification determination assisting device 1 It was.

Treatment with the viscous dampers Specification support device 1, the internal stiffness k _d viscous damper values shown in FIG. 7 (b) is assumed as a fixed value, the damping coefficient c _d is the value of Case1 shown in FIG. 7 (b) It will be used as an initial value.

FIG. 12 is a diagram showing changes in the characteristic values h _{M, j} when the processing of S4 to S8 is repeated five times and the iterative calculation is performed using the viscous damper specification determination support device 1. FIG.

As shown in FIG. 12, in any case, the characteristic value h _{M, j} is close to 1.0 in about three iterations, and the characteristic value h _{M, j} is sufficiently converged in the fifth iteration. Is able to. As described above, the real eigenvalues lambda _{k 'represents} a monotonic with respect to the change of the damping coefficient c _d, change in the natural circular frequency [omega _j from very small, the characteristic value h _{M, j} is 1.0 change in damping coefficient c _d where the converging near is updated by the attenuation coefficient updating means 6 is also reduced. For this reason, in the viscous damper specification determination support device 1, the convergence of λ ′ can be confirmed by the comparison display means 7.

FIG. 13 shows the result of the iterative calculation performed by repeating the processing of S4 to S8 five times by the viscous damper specification determination support device 1. FIG. 13 shows the damping coefficient c _d of the viscous damper obtained by iterative calculation, and the viscous damping constant h _j of the skeleton model calculated based on the specifications of the obtained viscous damper.

As shown in FIG. 13, when the primary vibration mode is the target, the primary viscosity damping constant h ₁ is 0.056, and when the secondary vibration mode is the target, h ₂ = 0.040, the third order. In the case where the vibration mode is targeted, h ₃ = 0.075, and it can be seen that the peak value of the viscous damping constant h _j shown in FIGS.

Further, it shows a combination of a damping coefficient c _d viscous damper when the viscous damping constant h _j has a peak in Case1 in Fig. Comparing FIG. 13 and FIG. 14, although there are places where each value is considerably different, the ratio of the values of each layer shows the same tendency.

Since the viscous damping constant h _j obtained by the viscous damper specification determination assisting apparatus 1 substantially coincides with the peak values of the viscous damping constants h _j of Cases 1 and 2 shown in FIGS. against the internal stiffness k _d viscous damper is believed that the viscous damping constant h _j modes targeting succeeded in obtaining the combination of the damping coefficient c _d maximized.

Next, a second embodiment of the present invention will be described with reference to the accompanying drawings.
FIG. 15 is a diagram illustrating the viscous damper specification determination support device 1 according to the present embodiment.
In the first embodiment, the fixed value assumption means 4 assumes the internal rigidity k _d of the viscous damper as a fixed value, and the damping coefficient update means 6 is based on the real number eigenvalue λ _k ′ calculated by the real number eigenvalue calculation means 5. has been described a case where updating the damping coefficient c _d viscous damper. On the other hand, in this embodiment, the fixed value assumption means 4 assumes the viscosity coefficient of the viscous damper as a fixed value, and the internal stiffness update means 8 is based on the real number eigenvalue λ _k ′ calculated by the real number eigenvalue calculation means 5. It is configured to update the internal stiffness k _d viscous damper.

The real eigenvalue calculation means 5 calculates the equation (1) for the state matrix A of the structure model configured using the fixed value assumed by the fixed value assumption means 4 and the internal stiffness k _d of the viscous damper input by the user. And the real eigenvalue λ _k ′ _represented by the equation (2) is repeatedly calculated. Internal rigid updating means 8, a real eigenvalue calculation means 5 using the _'real eigenvalues lambda _k calculated every time to calculate _the' real eigenvalues lambda _k performing the operation of the expression (4) below, the real eigenvalue calculating unit 5 Updates the internal stiffness k _d of the viscous damper used in the calculation of equation (1).

  Next, a procedure for determining the specification of the viscous damper using the viscous damper specification determining support device 1 of the present embodiment will be described. FIG. 16 is a flowchart showing a procedure for determining the specification of the viscous damper in the viscous damper specification determining support device 1 of the present embodiment.

In the specification process of the viscous damper, first, the structure model determining means 2 determines a structure model based on a user input (S11). Next, the damper position determination means 3 determines the arrangement position of the viscous damper in the structure model determined in S11 based on the user input (S12). Then, fixed value assuming unit 4 assumes the damping coefficient of the viscous damper that is input by the user c _d as a fixed value (S13). When the processing of S11 to S13 is executed, the real number eigenvalue calculation means 5 calculates the real number eigenvalue λ _k ′ using the fixed value assumed in S13 and the internal stiffness k _d of the viscous damper input by the user ( S14).

Next, the internal stiffness update means 8 determines whether or not the process of S14 is the first time (S15). If the process is the first time and the determination of S15 is YES, the real number eigenvalue calculation means 5 calculates. The internal rigidity k _d of the viscous damper is updated using the real number eigenvalue λ _k ′ (S16). Thereafter, the process returns to S14, and the real number eigenvalue λ _k ′ is calculated using the updated internal stiffness k _d of the viscous damper.

On the other hand, if the process of S14 is the second time or later and the determination of S15 is NO, the comparison display means 7 uses the real number eigenvalue λ _k ′ calculated by the real number eigenvalue calculation means 5 in the process of S14 and the previous process of S14. The calculated real number eigenvalue λ _k ′ is displayed so that it can be compared (S17). The user who confirmed this comparison display, the change in the difference between the real eigenvalue calculation means 5 calculated real eigenvalues lambda _{k 'real} eigenvalues lambda _k of a calculated in the previous process of _S14' by the processing of S14, it It is determined whether it is sufficiently smaller than the above, that is, whether the characteristic value h _{M, j} is converged to “1” (S18).

Users characteristic value h _{M, j} is determined to converge to "1", the damping coefficient of the viscous damper c _d and the internal stiffness k _d used in the processing of S14, determined as a specification of the viscous damper. As a result, internal rigidity k _d viscous damper that is updated by the internal rigid updating means _8, and the damping coefficient c _d viscous damper that is determined as a fixed value by a fixed value assuming means 4, is determined as a specification of the viscous damper The

Users who determine the specification of the viscous damper, the viscous damping constant to calculate the viscous damping constant h _j of the structure model based on the internal stiffness k _d and the damping coefficient c _d viscous damper that is determined as a specification of the viscous damper was calculated h It is determined whether _j has reached the design target (S19).

When the structure viscous damping constant h _j models have reached the design goal is determined S19: is YES, it can be confirmed that the design objectives are achieved by the specification of the viscous damper determined in S18.

If the viscous damping constant h _j of the structure model does not reach the design target and the determination in S19 is NO, the user sets the arrangement position of the viscous damper determined in S12 or the fixed value assumed in S13. change. Thereafter, the processes after S14 are repeatedly executed using the changed value.

  As mentioned above, although embodiment of this invention was described in detail, this invention is not limited to the said embodiment, A various deformation | transformation or change is possible within the range of this invention described in the claim. is there.

DESCRIPTION OF SYMBOLS 1 Viscous damper specification determination support apparatus 2 Structure model determination means 3 Damper position determination means 4 Fixed value assumption means 5 Real number eigenvalue calculation means 6 Damping coefficient update means 7 Comparison display means 8 Internal stiffness update means

Claims (4)

A viscous damper specification determination support device that supports specification determination of a viscous damper that maximizes the damping performance of a structure,
Damper position determining means for determining an arrangement position of the viscous damper in the structure model;
Fixed value assumption means for assuming the internal rigidity k _d of the viscous damper as a fixed value;
Fixed value solid value assumed means is assumed and the state matrix A of the structure model constructed using the damping coefficient c _d viscous damper, real eigenvalues of the formula (2) by the operation of Equation (1) real number eigenvalue calculating means for repeatedly calculating λ _k ′;

Performing the operation of the expression (3) using the _'real eigenvalues lambda _k calculated every time to calculate _the' said actual number eigenvalue calculation means real eigenvalues lambda _k, the attenuation coefficient updating means for updating the damping coefficient c _d viscous damper When,

Comparison display means for comparing and displaying the real eigenvalue λ _k ′ calculated by the real eigenvalue calculation means;
A viscous damper specification determining support device characterized by comprising: A viscous damper specification determination support device that supports specification determination of a viscous damper that maximizes the damping performance of a structure,
Damper position determining means for determining an arrangement position of the viscous damper in the structure model;
Assuming a fixed value assuming means the damping coefficient c _d viscous damper as a fixed value,
Fixed value solid value assumed means is assumed and the internal stiffness k _d state matrix A of the structure model constructed using the viscous damper, real number represented by the formula (2) by performing the operation of the expression (1) Real number eigenvalue calculating means for repeatedly calculating eigenvalue λ _k ′;

Performing the operation of the expression (4) using the _'real eigenvalues lambda _k calculated every time to calculate _the' said actual number eigenvalue calculation means real eigenvalues lambda _k, internal rigid updating means for updating the internal stiffness k _d viscous damper When,

Comparison display means for comparing and displaying the real eigenvalue λ _k ′ calculated by the real eigenvalue calculation means;
A viscous damper specification determining support device characterized by comprising: Computer
A viscous damper specification determination support device that supports specification determination of a viscous damper that maximizes the damping performance of a structure,
Damper position determining means for determining an arrangement position of the viscous damper in the structure model;
Fixed value assumption means for assuming the internal rigidity k _d of the viscous damper as a fixed value;
Fixed value solid value assumed means is assumed and the state matrix A of the structure model constructed using the damping coefficient c _d viscous damper, real number represented by the formula (2) by performing the operation of the expression (1) Real number eigenvalue calculating means for repeatedly calculating eigenvalue λ _k ′;

Performing the operation of the expression (3) using the _'real eigenvalues lambda _k calculated every time to calculate _the' said actual number eigenvalue calculation means real eigenvalues lambda _k, the attenuation coefficient updating means for updating the damping coefficient c _d viscous damper When,

A program which functions as a viscous damper specification determination support device comprising comparison display means for comparing and displaying the real number eigenvalue λ _k ′ calculated by the real number eigenvalue calculation means. Computer
A viscous damper specification determination support device that supports specification determination of a viscous damper that maximizes the damping performance of a structure,
Damper position determining means for determining an arrangement position of the viscous damper in the structure model;
Assuming a fixed value assuming means the damping coefficient c _d viscous damper as a fixed value,
For the state matrix A of the structure model configured by using the fixed value assumed by the fixed value assumption means and the internal stiffness k _{d of the} viscous damper, the real number eigenvalue represented by the expression (2) is calculated by the expression (1). real number eigenvalue calculating means for repeatedly calculating λ _k ′;

Performing the operation of the expression (4) using the _'real eigenvalues lambda _k calculated every time to calculate _the' said actual number eigenvalue calculation means real eigenvalues lambda _k, internal rigid updating means for updating the internal stiffness k _d viscous damper When,

A program which functions as a viscous damper specification determination support device comprising comparison display means for comparing and displaying the real number eigenvalue λ _k ′ calculated by the real number eigenvalue calculation means.

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