CN104778514A - Bridge or component safety state prediction method on basis of complex system theory - Google Patents

Abstract

The invention discloses a bridge or component safety state prediction method on the basis of a complex system theory. A bridge or a component is used as a complex system and a non-linear dynamical finite element model of the bridge or the component under different damage working conditions is established; accelerations and dynamic displacements of each monitoring and measuring point of the finite element model under different damage working conditions are acquired; the monitoring and measuring points of the finite element model are combined to acquire accelerations and dynamic displacements at the same positions on an existing bridge or component; an existing bridge structural safety state prediction model is constructed; the bridge or component safety state prediction model is adopted and monitored data of the bridge or the component in each period is combined to carry out prediction on the safety state of the bridge or the component in each period. The bridge or component safety state prediction method has the beneficial technical effects that the complex system theory and a phase-space reconstruction method are adopted to extract bridge safety state information from bridge monitoring information and establish the prediction model; engineering application value of a bridge safety monitoring system is greatly promoted.

Description

Based on bridge or the component safe condition Forecasting Methodology of Complex System Theory

Invention field

The present invention relates to servicing bridges or component safe condition forecasting techniques, be related specifically to a kind of bridge based on Complex System Theory or component safe condition Forecasting Methodology.

Background technology

In recent years along with the fast development of bridge construction cause, bridge structure Form and function is increasingly sophisticated, and the scale of engineering is also increasing.But all in succession there occurs the destructive insident of some bridge emergentnesses in countries in the world, these catastrophic events make various countries scientific research personnel think: be instant to the research of the health monitoring problem of bridge under operation state; By to the monitoring of bridge structural state and prediction, can reach and ensure bridge security operation, avoid the object that bridge security accident occurs; Monitoring information can be bridge inspection and maintenance, maintenance and management decision and provides foundation and guidance simultaneously.

But, at present for the bridge structure of the large scale of construction, multiple degrees of freedom, load excitation the unknown, just obtain merely the structural response information such as the stress of each structural section, strain, amount of deflection and acceleration, when creating the Monitoring Data of magnanimity, accurate, reliable safe condition information of forecasting that is overall to structure or member integrated but cannot be obtained.The vibratory response of the structural response information source that monitoring structural health conditions obtains in each position of structure under random load excitation, its essence is the system dissipation process of vibrational system under external drive.Therefore, how the vibratory response information obtained is monitored at each position and combine with structural system is unified, realizing the understanding of bridge structural health monitoring and safe prediction essence is the focus studied both at home and abroad at present.But, how from the magnanimity bridge structure real-time response information monitored, extract and conscientiously can reflect the parameter of bridge structure safe state, and to set up bridge security forecast model be according to this great difficult problem needing solution badly.

Summary of the invention

For extracting the parameter that conscientiously can reflect bridge structure safe state from the magnanimity bridge structure real-time response information monitored, and setting up bridge security forecast model according to this, the present invention proposes a kind of bridge based on Complex System Theory or component safe condition Forecasting Methodology.The present invention is based on bridge or the component safe condition Forecasting Methodology of Complex System Theory, bridge or component are regarded as a complication system, set up the nonlinear kinetics finite element model of bridge under different damage regime condition or component; Obtain the acceleration of finite element model each monitoring measuring point under different damage regime condition and dynamic displacement, extract its complexity features index; In conjunction with finite element model monitoring measuring point, obtain the acceleration in servicing bridges or component same position and dynamic displacement, and extract its complexity features index; Adopt the mutual comparative analysis of complexity features index of extracting finite element model and servicing bridges, be structured in service bridge structure safe condition forecast model; Adopt bridge or component safe condition forecast model and in conjunction with bridge or the Monitoring Data in component each cycle, bridge or component predicted at the safe condition in each cycle.

Further, the present invention is based on bridge or the component safe condition Forecasting Methodology of Complex System Theory, bridge or component are regarded as a complication system, set up the nonlinear kinetics finite element model of bridge under different damage regime condition or component, comprise, the division of different damage regime will comprise the mode of all bridge damnification deteriorations as far as possible, and divides with different degree of injury; By the analysis to structural nonlinear characteristic under different damage regime condition, set up non-linear dynamic model:

$\left[M\right]\stackrel{\·\·}{\left\{x\right\}}+\left[C\right]\stackrel{\·}{\left\{x\right\}}+\left[K\right]\left\{x\right\}=\left\{F\left(t\right)\right\}$

Wherein, [M], [C] and [K] are mass matrix, damping matrix and stiffness matrix respectively; { x} is vector acceleration, velocity vector and motion vector respectively; { F (t) } is load vectors, namely encourages battle array.

Further, the present invention is based on bridge or the component safe condition Forecasting Methodology of Complex System Theory, obtain the acceleration of finite element model each monitoring measuring point under different damage regime condition and dynamic displacement, extract its complexity features index, comprise, the arrangement principle of measuring point is mainly through to structural stress analysis, determine that structural vibration is violent or the position that nonlinear characteristic is stronger, and the monitoring point position under each operating mode will be consistent, then, obtain the acceleration of finite element model corresponding site and dynamic displacement respectively, extract the complexity features index of each measuring point again, described complexity features index comprises: time delay, embedding dimension, maximum L index, fractal dimension, phase space pioncare section radius.

Further, the present invention is based on bridge or the component safe condition Forecasting Methodology of Complex System Theory, in conjunction with finite element model monitoring measuring point, obtain the acceleration in servicing bridges or component same position and dynamic displacement, and extract its complexity features index, comprise, the position of servicing bridges monitoring measuring point and finite element model monitor the position one_to_one corresponding of measuring point, obtain the acceleration of each measuring point of servicing bridges and dynamic displacement simultaneously, and extract the complexity features index identical with finite element model; Described complexity features index comprises: time delay, embedding dimension, maximum L index, fractal dimension, phase space pioncare section radius.

Further, the present invention is based on bridge or the component safe condition Forecasting Methodology of Complex System Theory, adopt the mutual comparative analysis of complexity features index of extracting finite element model and servicing bridges, be structured in service bridge structure safe condition forecast model, comprise, described bridge or component safe condition forecast model are:

$R\left(t\right){\↔H}_c\left(t\right)$

Wherein, the structural parameters index that R (t) is bridge or component, H _ct () is complexity characteristic index, represent mapping relations.

Further, the present invention is based on bridge or the component safe condition Forecasting Methodology of Complex System Theory, comprise the following steps:

S1, regard bridge or component as a complication system, set up the nonlinear kinetics finite element model of bridge under different damage regime condition or component, comprise, the division of different damage regime will comprise the mode of all bridge damnification deteriorations as far as possible, and divides with different degree of injury; By the analysis to structural nonlinear characteristic under different damage regime condition, set up non-linear dynamic model:

$\left[M\right]\stackrel{\·\·}{\left\{x\right\}}+\left[C\right]\stackrel{\·}{\left\{x\right\}}+\left[K\right]\left\{x\right\}=\left\{F\left(t\right)\right\}$

Wherein, [M], [C] and [K] are mass matrix, damping matrix and stiffness matrix respectively; { x} is vector acceleration, velocity vector and motion vector respectively; { F (t) } is load vectors, namely encourages battle array;

S2, the acceleration obtaining finite element model each monitoring measuring point under different damage regime condition and dynamic displacement, extract its complexity features index, comprise, the arrangement principle of measuring point is mainly through to structural stress analysis, determine that structural vibration is violent or the position that nonlinear characteristic is stronger, and the monitoring point position under each operating mode to be consistent, then, obtain the acceleration of finite element model corresponding site and dynamic displacement respectively, then extract the complexity features index of each measuring point; Described complexity features index comprises: time delay, embedding dimension, maximum L index, fractal dimension, phase space pioncare section radius;

S3, in conjunction with finite element model monitoring measuring point, obtain the acceleration in servicing bridges or component same position and dynamic displacement, and extract its complexity features index, comprise, the position of servicing bridges monitoring measuring point and finite element model monitor the position one_to_one corresponding of measuring point, obtain the acceleration of each measuring point of servicing bridges and dynamic displacement simultaneously, and extract the complexity features index identical with finite element model; Described complexity features index comprises: time delay, embedding dimension, maximum L index, fractal dimension, phase space pioncare section radius;

The mutual comparative analysis of complexity features index of S4, employing extraction finite element model and servicing bridges, be structured in service bridge structure safe condition forecast model, comprise, described bridge or component safe condition forecast model are:

$R\left(t\right){\↔H}_c\left(t\right)$

Wherein, the structural parameters index that R (t) is bridge or component, H _ct () is complexity characteristic index, represent mapping relations;

S5, employing bridge or component safe condition forecast model also in conjunction with bridge or the Monitoring Data in component each cycle, are predicted at the safe condition in each cycle bridge or component.

The Advantageous Effects of the bridge or component safe condition Forecasting Methodology that the present invention is based on Complex System Theory is as a complication system using whole bridge structure, Complex System Theory and State Space Reconstruction is adopted in bridge monitoring information, to extract bridge security status information and set up forecast model, the significant increase engineer applied value of bridge safety supervision system.

Accompanying drawing explanation

Accompanying drawing 1 the present invention is based on the bridge of Complex System Theory or the step schematic diagram of component safe condition Forecasting Methodology.

Below in conjunction with drawings and the specific embodiments, the bridge or component safe condition Forecasting Methodology that the present invention is based on Complex System Theory are further described.

Embodiment

The present invention is based on bridge or the component safe condition Forecasting Methodology of Complex System Theory, bridge or component are regarded as a complication system, set up the nonlinear kinetics finite element model of bridge under different damage regime condition or component; Obtain the acceleration of finite element model each monitoring measuring point under different damage regime condition and dynamic displacement, extract its complexity features index; In conjunction with finite element model monitoring measuring point, obtain the acceleration in servicing bridges or component same position and dynamic displacement, and extract its complexity features index; Adopt the mutual comparative analysis of complexity features index of extracting finite element model and servicing bridges, be structured in service bridge structure safe condition forecast model; Adopt bridge or component safe condition forecast model and in conjunction with bridge or the Monitoring Data in component each cycle, bridge or component predicted at the safe condition in each cycle; Wherein,

Bridge or component are regarded as a complication system, set up the nonlinear kinetics finite element model of bridge under different damage regime condition or component, comprise, the division of different damage regime will comprise the mode of all bridge damnification deteriorations as far as possible, and divides with different degree of injury; By the analysis to structural nonlinear characteristic under different damage regime condition, set up non-linear dynamic model:

$\left[M\right]\stackrel{\·\·}{\left\{x\right\}}+\left[C\right]\stackrel{\·}{\left\{x\right\}}+\left[K\right]\left\{x\right\}=\left\{F\left(t\right)\right\}$

Wherein, [M], [C] and [K] are mass matrix, damping matrix and stiffness matrix respectively; { x} is vector acceleration, velocity vector and motion vector respectively; { F (t) } is load vectors, namely encourages battle array.

Obtain the acceleration of finite element model each monitoring measuring point under different damage regime condition and dynamic displacement, extract its complexity features index, comprise, the arrangement principle of measuring point is mainly through to structural stress analysis, determine that structural vibration is violent or the position that nonlinear characteristic is stronger, and the monitoring point position under each operating mode to be consistent, then, obtain the acceleration of finite element model corresponding site and dynamic displacement respectively, then extract the complexity features index of each measuring point; Described complexity features index comprises: time delay, embedding dimension, maximum L index, fractal dimension, phase space pioncare section radius.

In conjunction with finite element model monitoring measuring point, obtain the acceleration in servicing bridges or component same position and dynamic displacement, and extract its complexity features index, comprise, the position of servicing bridges monitoring measuring point and finite element model monitor the position one_to_one corresponding of measuring point, obtain the acceleration of each measuring point of servicing bridges and dynamic displacement simultaneously, and extract the complexity features index identical with finite element model; Described complexity features index comprises: time delay, embedding dimension, maximum L index, fractal dimension, phase space pioncare section radius.

Adopt the mutual comparative analysis of complexity features index of extracting finite element model and servicing bridges, be structured in service bridge structure safe condition forecast model, comprise, described bridge or component safe condition forecast model are:

$R\left(t\right){\↔H}_c\left(t\right)$

Wherein, the structural parameters index that R (t) is bridge or component, H _ct () is complexity characteristic index, represent mapping relations.

Obviously, after acquisition bridge or component safe condition forecast model, in conjunction with bridge or the Monitoring Data in component each cycle, bridge or component can be predicted at the safe condition in each cycle, and form structural safety status predication, the forecasting technique system with bridge operation process evolution thus.The bridge security forecast model method for building up that the present invention is based on Complex System Theory analyzes the complexity features of bridge structure by Complex System Theory, and adopt the mutual comparative analysis of complexity features index of extracting finite element model and servicing bridges, with the complexity features index of finite element model for reference, determine service bridge structure safe condition method.Meanwhile, analyze the trend that servicing bridges complexity features index develops, carry out configuration state prediction, forecast.

Accompanying drawing 1 the present invention is based on the bridge of Complex System Theory or the step schematic diagram of component safe condition Forecasting Methodology, as seen from the figure, the present invention is based on the bridge security forecast model method for building up of Complex System Theory, comprise the following steps:

S1, regard bridge or component as a complication system, set up the nonlinear kinetics finite element model of bridge under different damage regime condition or component, comprise, the division of different damage regime will comprise the mode of all bridge damnification deteriorations as far as possible, and divides with different degree of injury; By the analysis to structural nonlinear characteristic under different damage regime condition, set up non-linear dynamic model:

$\left[M\right]\stackrel{\·\·}{\left\{x\right\}}+\left[C\right]\stackrel{\·}{\left\{x\right\}}+\left[K\right]\left\{x\right\}=\left\{F\left(t\right)\right\}$

Wherein, [M], [C] and [K] are mass matrix, damping matrix and stiffness matrix respectively; { x} is vector acceleration, velocity vector and motion vector respectively; { F (t) } is load vectors, namely encourages battle array;

S2, the acceleration obtaining finite element model each monitoring measuring point under different damage regime condition and dynamic displacement, extract its complexity features index, comprise, the arrangement principle of measuring point is mainly through to structural stress analysis, determine that structural vibration is violent or the position that nonlinear characteristic is stronger, and the monitoring point position under each operating mode to be consistent, then, obtain the acceleration of finite element model corresponding site and dynamic displacement respectively, then extract the complexity features index of each measuring point; Described complexity features index comprises: time delay, embedding dimension, maximum L index, fractal dimension, phase space pioncare section radius;

S3, in conjunction with finite element model monitoring measuring point, obtain the acceleration in servicing bridges or component same position and dynamic displacement, and extract its complexity features index, comprise, the position of servicing bridges monitoring measuring point and finite element model monitor the position one_to_one corresponding of measuring point, obtain the acceleration of each measuring point of servicing bridges and dynamic displacement simultaneously, and extract the complexity features index identical with finite element model; Described complexity features index comprises: time delay, embedding dimension, maximum L index, fractal dimension, phase space pioncare section radius;

The mutual comparative analysis of complexity features index of S4, employing extraction finite element model and servicing bridges, be structured in service bridge structure safe condition forecast model, comprise, described bridge or component safe condition forecast model are:

$R\left(t\right){\↔H}_c\left(t\right)$

Wherein, the structural parameters index that R (t) is bridge or component, H _ct () is complexity characteristic index, represent mapping relations;

S5, employing bridge or component safe condition forecast model also in conjunction with bridge or the Monitoring Data in component each cycle, are predicted at the safe condition in each cycle bridge or component.

Obviously, the Advantageous Effects of the bridge or component safe condition Forecasting Methodology that the present invention is based on Complex System Theory is as a complication system using whole bridge structure, Complex System Theory and State Space Reconstruction is adopted in bridge monitoring information, to extract bridge security status information and set up forecast model, the significant increase engineer applied value of bridge safety supervision system.

Claims (6)

1. based on bridge or the component safe condition Forecasting Methodology of Complex System Theory, it is characterized in that, bridge or component are regarded as a complication system, set up the nonlinear kinetics finite element model of bridge under different damage regime condition or component; Obtain the acceleration of finite element model each monitoring measuring point under different damage regime condition and dynamic displacement, extract its complexity features index; In conjunction with finite element model monitoring measuring point, obtain the acceleration in servicing bridges or component same position and dynamic displacement, and extract its complexity features index; Adopt the mutual comparative analysis of complexity features index of extracting finite element model and servicing bridges, be structured in service bridge structure safe condition forecast model; Adopt bridge or component safe condition forecast model and in conjunction with bridge or the Monitoring Data in component each cycle, bridge or component predicted at the safe condition in each cycle.

2. according to claim 1 based on bridge or the component safe condition Forecasting Methodology of Complex System Theory, it is characterized in that, bridge or component are regarded as a complication system, set up the nonlinear kinetics finite element model of bridge under different damage regime condition or component, comprise, the division of different damage regime will comprise the mode of all bridge damnification deteriorations as far as possible, and divides with different degree of injury; By the analysis to structural nonlinear characteristic under different damage regime condition, set up non-linear dynamic model:

$\left[M\right]\left\{\stackrel{..}{x}\right\}+\left[C\right]\left\{\stackrel{.}{x}\right\}+\left[K\right]\left\{x\right\}=\left\{F\left(t\right)\right\}$

Wherein, [M], [C] and [K] are mass matrix, damping matrix and stiffness matrix respectively; { x} is vector acceleration, velocity vector and motion vector respectively; { F (t) } is load vectors, namely encourages battle array.

3. according to claim 1 based on bridge or the component safe condition Forecasting Methodology of Complex System Theory, it is characterized in that, obtain the acceleration of finite element model each monitoring measuring point under different damage regime condition and dynamic displacement, extract its complexity features index, comprise, the arrangement principle of measuring point is mainly through to structural stress analysis, determine that structural vibration is violent or the position that nonlinear characteristic is stronger, and the monitoring point position under each operating mode will be consistent, then, obtain the acceleration of finite element model corresponding site and dynamic displacement respectively, extract the complexity features index of each measuring point again, described complexity features index comprises: time delay, embedding dimension, maximum L index, fractal dimension, phase space pioncare section radius.

4. according to claim 1 based on bridge or the component safe condition Forecasting Methodology of Complex System Theory, it is characterized in that, in conjunction with finite element model monitoring measuring point, obtain the acceleration in servicing bridges or component same position and dynamic displacement, and extract its complexity features index, comprise, the position of servicing bridges monitoring measuring point and finite element model monitor the position one_to_one corresponding of measuring point, obtain the acceleration of each measuring point of servicing bridges and dynamic displacement simultaneously, and extract the complexity features index identical with finite element model; Described complexity features index comprises: time delay, embedding dimension, maximum L index, fractal dimension, phase space pioncare section radius.

5. according to claim 1 based on bridge or the component safe condition Forecasting Methodology of Complex System Theory, it is characterized in that, adopt the mutual comparative analysis of complexity features index of extracting finite element model and servicing bridges, be structured in service bridge structure safe condition forecast model, comprise, described bridge or component safe condition forecast model are:

$R\left(t\right)\↔H_c\left(t\right)$

Wherein, the structural parameters index that R (t) is bridge or component, H _ct () is complexity characteristic index, represent mapping relations.

6., according to claim 1 based on bridge or the component safe condition Forecasting Methodology of Complex System Theory, it is characterized in that, the method comprises the following steps:

S1, regard bridge or component as a complication system, set up the nonlinear kinetics finite element model of bridge under different damage regime condition or component, comprise, the division of different damage regime will comprise the mode of all bridge damnification deteriorations as far as possible, and divides with different degree of injury; By the analysis to structural nonlinear characteristic under different damage regime condition, set up non-linear dynamic model:

$\left[M\right]\left\{\stackrel{..}{x}\right\}+\left[C\right]\left\{\stackrel{.}{x}\right\}+\left[K\right]\left\{x\right\}=\left\{F\left(t\right)\right\}$

Wherein, [M], [C] and [K] are mass matrix, damping matrix and stiffness matrix respectively; { x} is vector acceleration, velocity vector and motion vector respectively; { F (t) } is load vectors, namely encourages battle array;

S2, the acceleration obtaining finite element model each monitoring measuring point under different damage regime condition and dynamic displacement, extract its complexity features index, comprise, the arrangement principle of measuring point is mainly through to structural stress analysis, determine that structural vibration is violent or the position that nonlinear characteristic is stronger, and the monitoring point position under each operating mode to be consistent, then, obtain the acceleration of finite element model corresponding site and dynamic displacement respectively, then extract the complexity features index of each measuring point; Described complexity features index comprises: time delay, embedding dimension, maximum L index, fractal dimension, phase space pioncare section radius;

S3, in conjunction with finite element model monitoring measuring point, obtain the acceleration in servicing bridges or component same position and dynamic displacement, and extract its complexity features index, comprise, the position of servicing bridges monitoring measuring point and finite element model monitor the position one_to_one corresponding of measuring point, obtain the acceleration of each measuring point of servicing bridges and dynamic displacement simultaneously, and extract the complexity features index identical with finite element model; Described complexity features index comprises: time delay, embedding dimension, maximum L index, fractal dimension, phase space pioncare section radius;

The mutual comparative analysis of complexity features index of S4, employing extraction finite element model and servicing bridges, be structured in service bridge structure safe condition forecast model, comprise, described bridge or component safe condition forecast model are:

$R\left(t\right)\↔H_c\left(t\right)$

Wherein, the structural parameters index that R (t) is bridge or component, H _ct () is complexity characteristic index, represent mapping relations;

S5, employing bridge or component safe condition forecast model also in conjunction with bridge or the Monitoring Data in component each cycle, are predicted at the safe condition in each cycle bridge or component.