Perspectives in Dynamical Systems I: Mechatronics and Life Sciences: DSTA, Łódź, Poland December 2–5, 2019 (Springer Proceedings in Mathematics & Statistics, 362)

Preface
Contents
On the Vibrational Analysis for the Motion of a Rotating Cylinder
	1 Introduction
	2 Dynamical Modeling
	3 The Proposed Method
	4 Vibrations and Resonance Conditions
	5 External Resonances
		5.1 Solvability Conditions
	6 Problem's Modulation Close to Resonances
	7 Steady-State Solutions
	8 Steady State Analysis
	9 Conclusions
	References
Nonlinear Dynamics of the Hierarchic System of Oscillators
	1 Introduction
	2 Construction of the Mathematical Model for a Hierarchic System
	3 Dynamics of Three-layer Dissipative Hierarchic System Under the Harmonic Loading
	4 Statistical Properties of System's Attractors
	5 Concluding Remark
	References
Nonlinear Dynamics of Flexible Meshed Cylindrical Panels in the White Noise's Field
	1 Formulation of the Problem
	2 Numerical Results
	3 Conclusions
	References
A System for Improving Directional Stability Involving Individual Braking of 1, 2, or 3 Wheels of Articulated Rigid Body Vehicles
	1 Introduction
	2 Basic Vehicle Parameters and Braking Control System Principles
	3 Simulation Testing of the Anti-Oscillation System in Steering System
	4 Conclusions
	References
An Experimental Observation of the Spatial Motions of Strings in Resonance Points Under the Planar Excitation
	1 Introduction
	2 Analytical Model and Equations of Motion
		2.1 Analytical Model for the Nonplanar Motion
		2.2 Nonlinear Equations of Motion for the Nonplanar Motion
	3 Experiments
		3.1 Experimental Apparatus
		3.2 Experimental Results
	4 Conclusions
	References
A Hydraulic Delta-Robot-Based Test Bench for Validation of Smart Products
	1 Introduction
	2 Concept
	3 System Simulations and Analysis
		3.1 Parametrization
		3.2 Kinematics and Inverse Dynamics
		3.3 Hydraulics
		3.4 Rigid-body Dynamics
		3.5 Sliding Mode Control
	4 Construction and Implementation
	5 Conclusions
	References
Towards Online Transient Simulation of a Real Heat Pump
	1 Introduction
	2 Heat Exchanger Modeling
		2.1 Example Derivation for one Control Volume
		2.2 Derivation for Three CV
	3 Simulation Results for Condenser
	4 Conclusions
	References
Mathematical Approach to Assess a Human Gait
	1 Introduction
	2 Materials and Methods
		2.1 Sagittal 6DOF Model
		2.2 Sagittal 7DOF Model
		2.3 Frontal 7DOF Model
		2.4 Approach to Model an Interaction
	3 Results
	4 Discussion
	5 Conclusions
	References
Role of the Immune System in AIDS-defining Malignancies
	1 Introduction
	2 The Model
		2.1 Model Properties
	3 Numerical Simulations and Discussion
	4 Conclusions
	References
Bio-Inspired Tactile Sensing: Distinction of the Overall Object Contour and Macroscopic Surface Features
	1 Introduction
	2 Material and Methods
		2.1 Finite Element Analysis
		2.2 Experiment
	3 Results and Discussion
	4 Conclusions
	References
Modelling and Control of a Lower Limb Exoskeleton Driven by Linear Actuators
	1 Introduction
	2 CAD Model of the Lower Limb Exoskeleton
	3 Simulation Model
	4 Numerical Results
	5 Experimental Results
	6 Conclusions
	References
Uncertainties in the Movement and Measurement of a Hexapod Robot
	1 Introduction
		1.1 Accuracy, Repeatability and Uncertainty
		1.2 Model Uncertainty
		1.3 Robot Uncertainty
	2 Analysis Method
		2.1 Measurement Variables
		2.2 Repeatability Analyses
		2.3 Statistics
	3 Experimental Results
	4 Conclusion
	References
The Dynamics Analysis of a Spatial Linkage with Flexible Links and Imperfect Revolute Joints
	1 Introduction
	2 Dynamics Model of the Two-dof RPSUP Spatial Linkage
		2.1 The Formalism of Generalised Coordinates and Homogeneous Transformation Matrices
		2.2 Dynamics Equations of Motion
			Kinetic Energy and Potential Energy of Gravity Forces
			Modelling of the Flexibility of Coupler
			Modelling of Contact Forces in Clearance Joint
		2.3 Final Dynamics Equations
	3 Case Study
	4 Concluding Remarks
	References
Application of Homogenous Transformations in the Dynamic Analysis of Truck Trailers
	1 Introduction
	2 Mathematical Model of Combination of Vehicles
	3 Computer Simulations and Results
	4 Conclusions
	References
Improving Capabilities of Constitutive Modeling of Shape Memory Alloys for Solving Dynamic Problems Via Application of Neural Networks
	1 Introduction
	2 Superelasticity in SMA
	3 Experimental Tests
	4 Application of ANN to Constitutive Modeling of SMA
	5 Numerical Simulation and Experimental Validation
	6 Summary, Final Conclusions and Future Directions
	References
Modeling of Electro-Hydraulic Servo-Drive for Advanced Control System Design
	1 Introduction
	2 Laboratory Test Stand
	3 Mathematical Modeling of the Electro-Hydraulic Servo-Drive
		3.1 Modeling of Double-Acting Hydraulic Actuator
		3.2 A Servo-Valve Model
		3.3 A Constant Displacement Pump Model
	4 Experimental Verification of the Electro-Hydraulic Servo-Drive Model
	5 Conclusions
	References
Assessment of Implementation of Neural Networks in On-Board Dynamic Payload Weighing Systems
	1 Introduction
		1.1 Dynamic Payload Weighing Systems for Single Bucket Excavators – The Overview
	2 A Concept of the New Generation Dynamic On-Board Payload Monitoring System
	3 Acquisition of the Neural Network Training Dataset
	4 Test Results and Conclusions
	References
Lower Limb Rehabilitation Exoskeleton with a Back Support  – Mechanical Design
	1 Introduction
	2 Available Solutions (State-of-the-Art)
	3 Conceptual Design of the Developed LLE
	4 Discussion
	References
Impact Wave Propagation in a Thin Elastic Isotropic Plate
	1 Introduction
	2 Current State
		2.1 Material and Geometric Models of Plates
	3 Analytical Solution of Thin Plates
	4 Experimental Solutions
	5 Solution of Results
	6 Conclusion
	References
Optimal Rendezvous with Proportional Navigation Unmanned Aerial Vehicle
	1 Introduction
	2 Problem Formulation
	3 Problem Analysis
	4 Numerical Solution
	5 Conclusions
	References
Optimization of the Geometry of Aeroelastic Energy Harvester
	1 Introduction
	2 Impact of Structure Parameters on Device Performance
	3 Optimization
		3.1 Genetic Algorithm
		3.2 Determination of Aerodynamic Characteristics
	4 Results and Discussion
	5 Conclusions
	References
Rolling Heavy Ball Over the Surface with Arbitrary Shape in Real Rn3 Space
	1 Introduction
	2 Description of the Model of a Rolling Heavy Ball Over the Arbitrary Surface
	3 Velocity of the Centre of a Rolling Heavy Rigid Ball
	4 Kinetic and Potential Energies of a Heavy Rolling Ball Over the Arbitrary Surface and Two Nonlinear Differential Equations
	5 Concluding Remarks
	References
Explicit Model for Surface Waves on an Elastic Half-Space Coated by a Thin Vertically Inhomogeneous Layer
	1 Introduction
	2 Basic Equations
	3 Effective Boundary Conditions
	4 Asymptotic Model for Surface Wave
	5 Illustrative Example
	6 Concluding Remarks
	References
Bending Vibration Systems which are Complementary with Respect to Eigenvalues
	1 Introduction
	2 Modeling
	3 Analyses of the Models
	4 Simulations
	5 Conclusions
	References