## 한국도로학회논문집 제20권 제6호 (p.31-39)

### 이동차량의 동적 확률모델을 통한 도로 함몰예상지역 식별 알고리즘의 개발

The Identification of Road Subsidence Zone from Stochastic Modelling of Dynamic Characteristics of a Moving Vehicle
키워드 :
Elastic foundation,Lyapunov solution,Weak foundation identification,Stochastic model

#### 목차

ABSTRACT
1. 서론
2. 상호작용모델 표현식
2.1. 개발 모델 개요
2.2. 지반노면 평탄성과 차량 모델
2.3. 확장형 상호작용 모델
3. 모델 해석 예
3.1. Winkler 지반
3.2. 해석 모델 물성치 검증
3.3. 해석 결과
3.4. WZI 민감도 평가
4. 결론
5. 부록 : 차량 동적 상호작용모델 개발
REFERENCES

#### 초록

PURPOSES: This paper develops a new stochastic approach to analyze the pavement-vehicle interaction model with a certain roughness and elasticity for the pavement foundation, thereby accommodating the deflection of the pavement, and to identify the road subsidence zone represented with a sudden changes in the elasticity of the foundation.
METHODS: In the proposed model, a quarter-car model was combined with a filtered white noise model of road roughness and a two-layer foundation (Euler-Bernoulli beam for the top surface and Winkler foundation to represent the sub-structure soil). An augmented state-space model for the subsystems was formulated. Then, because the input is White noise and the system is represented as a single system, the Lyapunov equation governing the covariance of the system’s response was solved to obtain a structurally weak zone index (WZI).
RESULTS: The results showed that the WZI from the pavement-vehicle interaction model is sensitive enough to identify road subsidence. In particular, the WZI rapidly changed with a small change in foundation elasticity, indicating that the model has the potential to detect road subsidence in the early stage.
CONCLUSIONS: Beacause of the simplicity of the calculation, the proposed approach has potential applications in managing road conditions while a vehicle travels along the road and detecting road subsidence using a device with an on-board computational capability, such as a smart phone.