Matematisk modellering av bil-kollisjoner

Bernard Munyazikwiye  disputerer for ph.d.-graden med avhandlingen «Mathematical Modelling and Analysis of Vehicle Frontal Crash using Lumped Parameters Models” fredag 29. mai 2020.

Han har forsket fram en matematisk modell til analyse av kollisjoner mellom biler i doktorgradsavhandlingen «Mathematical Modelling and Analysis of Vehicle Frontal Crash using Lumped Parameters Models”.

Den matematiske modelleringen tar utgangspunkt i en kollisjon, som blir rekonstruert og analysert bakover – det vil si fra bilen(e) står stille etter kollisjonen til før kollisjonen begynner. Dette blir gjort fysisk mange ganger under utviklingen av bilen.

Modellerings-verktøyet bidrar til at bilprodusenter kan teste konstruksjoner i datamaskin før de endelige, fysiske kollisjonstestene, noe som sparer tid og penger. Det er også mulig å analysere personskader ved å bruke modelleringen.

Bernard Munyazikwiye har fulgt doktorgradsprogrammet ved Fakultet for teknologi og realfag, med spesialisering i mekatronikk.

Slik oppsummerer Bernard Munyazikwiye selv avhandlingen:

Mathematical Modelling and Analysis of Vehicle Frontal Crash using Lumped Parameters Models

It is a difficult task to understand fully the dynamic of a car crash.

Finding the crash pulse

To determine the crash pulse or the acceleration signal during an accident, crash reconstruction experts perform a reverse engineering process by starting from the final scene of the crash and work backward to identify the parameters of the car structure, a process known as system identification. This process is often very complex.

Hence, solving such a complex problem is crucial and requires precise data acquisition and the use of the right tools.

Crash reconstruction

In most frontal crashes, the occupant is the victim of the scenario then it was worth investigating the response of the occupant.

A vehicle to vehicle crash scenario was also investigated.

The accurate crash reconstruction was achieved with the help of a nature-inspired algorithm, which is a genetic algorithm and the frontal structure of the car involved in the crash was modeled as a piecewise function of displacement and velocity, respectively.

Reduces need for physical crash tests

The project is of interest to the community including end-users, car manufacturers, and car designers since the crash event can be predicted before performing a physical crash test.

This will reduce the cost and will allow designers to predict the behavior of the car when subjected to impact.

A full-scale crash test is conventionally used for vehicle crashworthiness analysis.

However, this approach is expensive and time-consuming. Vehicle crash reconstructions using different numerical modelling approaches can predict vehicle behavior and reduce the need for multiple full-scale crash tests, thus research on crash reconstruction has received great attention in the last few decades.

Math models for crash analysis

In this work, the author has developed simple tools (mathematical models) that could reconstruct the crash events (vehicle-to-barrier, vehicle-occupant, and vehicle-to-vehicle crashes) with sufficient accuracy.

The frontal crash is investigated because it is the most cause of injury and death as compared to other types of crash events. The vehicle frontal structure is the most affected zone of the car during a crash scenario.

In this work, the frontal structure of the car is estimated as spring-dampers connected to a mass or in the context of this work, these combinations are called Lumped parameters Models.

The models were finally used to reconstruct the real crash signal. The crash analysis simulation can be used to assess the crashworthiness and investigate alternative ways to improve car design.

The simulation can also be used to assess the injury of an occupant during a crash event. Within this framework, the advantages of the proposed methods are explained in detail, and suggested solutions are presented to address the challenges in the study.

Opponent ex auditorio:

Disputasleder inviterer til spørsmål ex auditorio i innledningen i disputasen, med tidsfrister. Disputasleders e-post er tilgjengelig i chat-funksjonen under disputasen. Spørsmål om ex auditorio kan sendes til disputasleder Tom Viggo Nilsen på e-post: tom.v.nilsen@uia.no

Avhandlingen er tilgjengelig her:

PhD Thesis Bernard Munyazikwiye (3 March 2020)