Mayank Chadha

• PhD
• Assistant Adjunct Professor at University of California, San Diego

Structural health monitoring (SHM) involves collecting information to assess the health of a structure, typically to guide risk-informed maintenance decision-making or predict limit state behavior throughout its lifespan. Although the value of information (VoI) obtained from an SHM system can facilitate improved decision-making, it is important to...

Accurate river discharge forecasts for short to intermediate time intervals are crucial for decision-making related to flood mitigation, the seamless operation of inland waterways management, and optimal dredging. River routing models that are physics based, such as RAPID (‘routing application for parallel computation of discharge’) or its variants...

The ultimate goal of a Structural Health Monitoring and Prognostics system (SHM/DP) is to interrogate the data gathered in situ to infer the state of the structure (diagnostics), evaluate the system's evolution over time (prognos-tics), and leverage the diagnostic and prognostic results to facilitate decision-making. As a compelling business propos...

A structural health monitoring (SHM) system acquires sensor measurements from which a structural state can be inferred. An updated understanding of the structural state is crucial in making appropriate maintenance decisions over the life cycle of the structure. However, the inferred structural state may be incorrect if the sensing system that initi...

Structural health monitoring (SHM) aims to assess damage intensity and provide engineers with data to make informed maintenance and repair decisions. SHM systems collect crucial information for evaluating a structure's current state, enabling appropriate maintenance decisions and loss mitigation. Therefore, it is crucial to acquire damage-sensitive...

In this paper, we aggregate, analyze, and exemplify several metrics for the information value. The metrics vary by absolute value, normalizations, or full probabilistic quantification. The normalization of the information value encompasses the division by (1) the expected and maximized utility of the base scenario (usually without additional inform...

Streamflow prediction of rivers is crucial for making decisions in watershed and inland waterways management. The US Army Corps of Engineers (USACE) uses a river routing model called RAPID to predict water discharges for thousands of rivers in the network for watershed and inland waterways management. However, the calibration of hydrological stream...

A structural health monitoring (SHM) system is essentially an information-gathering mechanism. The information accumulated via an SHM system is crucial in making appropriate maintenance decisions over the life cycle of the structure. An SHM system is feasible if it leads to a greater expected reward (by making data and risk-informed decisions) than...

This paper proposes an approach to select a maintenance strategy from a predefined set of choices considering the decision maker’s behavioral risk profile. It is assumed that the damage state is characterized by a continuous state parameter probabilistically inferred from observable sensor data. This work applies an engineering application of conse...

This paper presents a novel generalized framework for optimal sensor placement design for structural health monitoring (SHM) applications using Bayes risk as the objective function. Bayes risk considers the costs of consequences associated with making decisions and design selection (extrinsic cost) in the monitoring process, as well as intrinsic co...

Due to the aging of civil infrastructure and the associated economic impact, there is an increasing need to continuously monitor structural and non-structural components for system life-cycle management, including maintenance prioritization. For complex infrastructure, this monitoring process involves different types of data sources collected at di...

Analogous to an experiment, a structural health monitoring (SHM) system may be thought of as an information-gathering mechanism. Gathering the information that is representative of the structural state and correctly inferring its meaning helps engineers (decision-makers) mitigate possible losses by taking appropriate actions (risk-informed decision...

This paper presents a new approach to optimal sensor design for structural health monitoring (SHM) applications using a modified f-divergence objective functional. One of the primary goals of SHM is to infer the unknown and uncertain damage state parameter(s) from the acquired data or features derived from the data. In this work, we consider the lo...

This paper investigates the Hamiltonian structure and Poisson bracket formulation of a higher-order, geometrically-exact Cosserat type beam with a deforming cross-section in terms of canonically conjugate variables.

This paper investigates the variational formulation and numerical solution of a higher-order, geometrically exact Cosserat type beam with deforming cross-section, instigated from generalized kinematics presented in earlier works. The generalizations include the effects of a fully-coupled Poisson’s and warping deformations in addition to other defor...

This paper deals with the concept of curvature of framed space curves, their higher-order derivatives, variations, and co-rotational derivatives. We realize that parametrizing rotation tensor using the Gibbs vector is effective in deriving a closed form formula to obtain any order derivative of the curvature tensor as the summation of functions of...

This paper considers the curvature of framed space curves, their higher-order derivatives, variations, and co-rotational derivatives. We realize that parametrizing rotation tensor using the Gibbs vector is effective in deriving a closed-form formula that gives the general n-th order derivative of the curvature tensor as the summation of functions o...

In this paper, we investigate an approach towards curve framing using material frames (MF). Motivated from the successful application of MF in shape sensing of rods in our previous work, we now present these frames as an alternative curve framing method. There are numerous instances of practical importance, where the dynamic system in consideration...

In this paper, we investigate the coupling of Poisson's and warping effect for a general asymmetric cross-section of Cosserat beam. We present the challenges and inconsistencies observed as a result of our attempt to couple the two effects. The fully-coupled Poisson's transformation is then developed to describe the in-plane deformation for the pri...

This article is a conceptual exposition on the structure of the tree. It demonstrates an evolutionary design that the tree possesses in the perspective of a structural engineer.

Our research on reconstructing the global deformed shape of the rod-like structure using measurements from a finite number of surface strain gauge, has led us to investigate and improve the kinematics of Cosserat beams subjected to large deformation and finite strain. In this work, we present an exhaustive, geometrically exact, non-linear kinematic...

This paper serves as an introduction to the variational formulation of Cosserat beams. It provides a detailed derivation and treatment of reduced balance laws of Cosserat beams from the Lagrangian differential equation of motion and Hamilton’s principle. Emphasis is given to the details of the derivation, maintaining Bernoulli’s assumption of the r...

In this paper, we discuss about reconstructing the global deformed shape of slender structures such as pipelines, tethers, or cables from a limited set of scalar surface strain measurements. We present a comprehensive approach that captures the effect of curvature, shear, torsion, and axial deformation. Our primary focus is to demonstrate the appli...

This paper extends the approach for determining the three-dimensional global displaced shape of slender structures from a limited set of scalar surface strain measurements. It is an exhaustive approach that captures the effect of curvature, shear, torsion, and elongation. The theory developed provides both a determination of the uniaxial strain (in...