Modeling Multibody Stage Separation Dynamics Using Constraint Force Equation Methodology

Tartabini, Paul V.; Roithmayr, Carlos M.; Toniolo, Matthew D.; Karlgaard, Christopher D.; Pamadi, Bandu N.

doi:10.2514/1.51943

Cited by 9 publications

(13 citation statements)

References 13 publications

(21 reference statements)

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“…The net forces and torques on each body are therefore the sum of the usual external forces and torques plus the joint loads applied to each body as additional external forces and torques. In consequence, the CFE joint model simply augments the external loads of the system [17]. Quoting step by step [16,17], the equa- Figure 1: CFE diagram.…”

Section: Constraint Force Equation Methodologymentioning

confidence: 99%

“…In consequence, the CFE joint model simply augments the external loads of the system [17]. Quoting step by step [16,17], the equa- Figure 1: CFE diagram. Illustration credits: [16].…”

Section: Constraint Force Equation Methodologymentioning

confidence: 99%

“…The Constraint Force Equation (CFE) methodology [16,17,18] is a highly intuitive method consisting in the computation of joint loads, namely internal forces and torques, caused by joint constraints; along with their application as external forces and torques on each body independently, see Figure 1. The joint loads which constrain one body's motion relative to the other are dependent upon the external forces acting on each body as well as the type of joint.…”

Section: Constraint Force Equation Methodologymentioning

confidence: 99%

“…The CFE methodology [16,17,18] consists on computing internal constraint forces and moments on two bodies during their connected motion and their application as external forces and torques to each of them separately. On separation command, these internal forces are set to zero, and then each body carries their own flight motion separately.…”

Section: − Constraint Force Equation (Cfe) Methodologymentioning

confidence: 99%

“…Stage separation dynamics modeling is a very challenging task and a critical capability that must be considered in the preparatory studies and development of next generation launchers [14,16,17]. The integration of such stage separation modeling into a single environment capable of end-to-end launch vehicle trajectory simulation is also a key technology to aim for.…”

Section: Introductionmentioning

confidence: 99%

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Modelica Stage Separation Dynamics Modeling for End-to-End Launch Vehicle Trajectory Simulations

Acquatella¹,

Reiner²

2014

Linköping Electronic Conference Proceedings

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Stage separation dynamics modeling is a critical capability of future launchers preparatory studies. The development of stage separation frameworks integrable in end-to-end launch vehicle trajectory simulations have been presented in the relevant literature but none profiting from the object-oriented and equation-based acausal modeling properties of MODELICA. The objective of this paper is therefore to present such an approach to this problematic. Based on the Constraint Force Equation (CFE) methodology, two case studies to evaluate the proposed approach are considered. Results demonstrate that the approach corresponds very well with the physics behind separation. In addition, we found easiness of implementation of the method within a single environment such as DYMOLA, demonstrating the benefits of an integrated approach.

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Section: Constraint Force Equation Methodologymentioning

confidence: 99%

“…In consequence, the CFE joint model simply augments the external loads of the system [17]. Quoting step by step [16,17], the equa- Figure 1: CFE diagram. Illustration credits: [16].…”

Section: Constraint Force Equation Methodologymentioning

confidence: 99%

Section: Constraint Force Equation Methodologymentioning

confidence: 99%

Section: − Constraint Force Equation (Cfe) Methodologymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Modelica Stage Separation Dynamics Modeling for End-to-End Launch Vehicle Trajectory Simulations

Acquatella¹,

Reiner²

2014

Linköping Electronic Conference Proceedings

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A dual‐mode integration framework and application to agile feedback design of launch vehicles

Zhang,

Cai,

Liu

et al. 2024

Int Journal of Mech Sys Dyn

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In recent decades, the design of complex systems like launch vehicles in the aerospace industry has presented engineers with challenges that go beyond system complexity. Issues such as time‐to‐market pressures and intricate industrial processes have underscored the increasing significance of agile design methodologies. Agile design is derived from the simplification of the design process and enhancing cross‐domain data transmission and feedback. While methods based on model‐based system engineering have improved iteration times in system architecture design, challenges persist in cross‐domain data transmission. Due to the diversity of complex system models and data, a single‐mode integration method is difficult to realize the data link construction of all tools used. To address this challenge, this paper proposes a dual‐mode data integration framework with expansibility, universality, and cost‐efficiency which leverages the benefits of Remote Procedure Call and Intermediate Exchange Module, addressing the challenge of constructing cross‐domain data links under single‐mode integration. In this study, two critical requirements of the first‐ and second‐stage separation systems, namely, weight and minimum separation gap, are selected for data feedback. A Modelica‐based multiphysics simulation model is developed in MWorks; visualization and computation of the minimum gap are carried out in CoppeliaSim. To bridge the gap between domain‐specific tools, Matlab and Functional Mock‐up Unit modules are introduced as middleware, facilitating data feedback linkage. The entire simulation process is orchestrated using activity diagrams in the MagicDraw tool. The study delves into the influence of critical design parameters, such as the initial angular velocity of separation and the thrust of the retro rocket, on the minimum separation gap. It provides an analysis of minimum separation gap variations under uncertain operating conditions and examines design margins. Significantly, the paper highlights the significance of controlling the initial angular velocity during separation and the reliability of the retro rocket, providing essential decision supports and valuable insights to agile the process of system design.

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Parameterized Modelling of Stage Separation of Launch Vehicles with Modelica

Zhang,

Cai,

Liu

et al. 2024

Lecture Notes in Mechanical Engineering

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Modeling Multibody Stage Separation Dynamics Using Constraint Force Equation Methodology

Cited by 9 publications

References 13 publications

Modelica Stage Separation Dynamics Modeling for End-to-End Launch Vehicle Trajectory Simulations

Modelica Stage Separation Dynamics Modeling for End-to-End Launch Vehicle Trajectory Simulations

A dual‐mode integration framework and application to agile feedback design of launch vehicles

Parameterized Modelling of Stage Separation of Launch Vehicles with Modelica

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