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    Chapter

    Random Vibration of System with Finitely Many Degrees of Freedom and Several Coalescent Natural Frequencies

    This chapter deals with of a system with finitely many degrees of freedom and two sets of eigenvalues: a single separate one representing the natural frequency of a single-degree-of-freedom structure—and all...

    Isaac Elishakoff in Dramatic Effect of Cross-Correlations in R… (2020)

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    Chapter

    Dramatic Effect of Cross-Correlations in Random Vibration of Point-Driven Flat Plate and Spherically Curved Panel

    In this chapter, we study titled problem in view of examining if the asymptotic enhancement values, reported in the literature, can be validated by the large-scale combined analytical and numerical calculation...

    Isaac Elishakoff in Dramatic Effect of Cross-Correlations in R… (2020)

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    Chapter

    Hybrid Optimization and Anti-optimization of a Stochastically Excited Beam

    of the damped Bernoulli– with two supports and subjected to excitation are studied in this chapter. The supports are placed symmetrically with respect to the middle cross section of the beam. We investig...

    Isaac Elishakoff in Dramatic Effect of Cross-Correlations in R… (2020)

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    Chapter

    Random Vibrations of Orthotropic Plates

    , an approximate method is presented for determining the probabilistic response of rectangular clamped all round. For solving the stochastic boundary value problem, the probabilistically given and sought f...

    Isaac Elishakoff in Dramatic Effect of Cross-Correlations in R… (2020)

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    Chapter

    Turbulent Flow-Excited Vibrations of a Shallow Cylindrical Shell

    In this chapter we present the theory of of , subjected to turbulent layer fluctuations. The is applied. The existence of two is established. Then we discuss the of a shell containing to evaluate no...

    Isaac Elishakoff in Dramatic Effect of Cross-Correlations in R… (2020)

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    Chapter

    Normal-Mode Approach in Random Vibrations

    This chapter first discusses the in context. Specifically, the probabilistic response is formulated in terms of direct and cross-correlations. The effect is elucidated in the example system with . Moh...

    Isaac Elishakoff in Dramatic Effect of Cross-Correlations in R… (2020)

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    Chapter

    Random Vibration of a Vehicle Model

    In this chapter, we investigate of exhibiting repeated natural frequencies. It is shown that the cross-correlations have crucial effect, and their neglect may lead to considerable error in evaluation of me...

    Isaac Elishakoff in Dramatic Effect of Cross-Correlations in R… (2020)

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    Chapter

    Random Vibration of a Point-Driven Two-Span Beam on an Elastic Foundation

    In this chapter, we investigate the random vibrations In this chapter, we investigate the of a point-driven of length 2 L on a linear . The is utilized. The natural frequencies are falling into two groups:...

    Isaac Elishakoff in Dramatic Effect of Cross-Correlations in R… (2020)

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    Chapter

    Wide-Band Random Axisymmetric Vibration of Cylindrical Shells

    In this chapter, analytical and numerical results are reported for the of a uniform circular cylindrical shell excited by a ring load which is uniform around the circumference and random in time. The time hi...

    Isaac Elishakoff in Dramatic Effect of Cross-Correlations in R… (2020)

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    Chapter

    On the Role of Cross-Correlations in the Random Vibrations of Spherical Shells

    , theoretical and numerical results are presented for the investigation of the role of cross-correlations in random shell vibration problems. The conditions of negligibility of the cross-terms are derived ...

    Isaac Elishakoff in Dramatic Effect of Cross-Correlations in R… (2020)

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    Chapter

    Introduction

    Glass, which possesses excellent material properties such as chemical stability, transparency, and high wear resistance, is a non-crystalline amorphous solid because of the large viscosity of liquid melt and b...

    Jun Xu, Yibing Li in Impact Behavior and Pedestrian Protection … (2019)

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    Chapter

    Mechanical Behavior and Constitutive Modeling of Laminated Glass

    Tension test is widely used as a tension mechanical parameter in the measurement of metallic or composite materials. The sample in a tension test is usually dog-bone shaped according to GB/T 228-2002 (Tensile tes...

    Jun Xu, Yibing Li in Impact Behavior and Pedestrian Protection … (2019)

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    Chapter

    Theoretical Analysis of Laminated Glass

    Experimental investigations and theoretical analysis of laminated glass in different physical models were presented in the previous section. In this section, we introduce the different mathematical models of l...

    Jun Xu, Yibing Li in Impact Behavior and Pedestrian Protection … (2019)

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    Chapter

    Numerical Simulation Based on XFEM

    Cracks, including radial and circumferential cracks, will appear on the surface of the glass material after the head impacts on the windshield. The fracture characteristics of a windshield are widely recognize...

    Jun Xu, Yibing Li in Impact Behavior and Pedestrian Protection … (2019)

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    Chapter

    Accident Reconstruction Based on Laminated Windshield Cracking

    Traffic accidents are becoming increasingly frequent worldwide due to various complex factors. Pedestrian–vehicle accidents comprise the most common type of traffic accidents. Considerable efforts have been ex...

    Jun Xu, Yibing Li in Impact Behavior and Pedestrian Protection … (2019)

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    Chapter

    Manufacturing of Automotive Laminated Windshields

    Automotive glass includes tempered and laminated glass. Tempered glass is used for the side windows and backlite of vehicles, and laminated glass is mainly for the windshields (https://www.aisglass...

    Jun Xu, Yibing Li in Impact Behavior and Pedestrian Protection … (2019)

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    Chapter

    Crack Initiation and Propagation in Laminated Glass upon Impact

    The quasi-static mechanical behavior of PVB laminated glass has been widely investigated experimentally by starting from a fundamental point (Xu et al. in Compos B Eng 42:302–308, 2011, [1]).

    Jun Xu, Yibing Li in Impact Behavior and Pedestrian Protection … (2019)

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    Chapter

    Numerical Computation Based on Finite Element Method

    In accordance with the previously obtained experimental results, two windshield FE models, namely, the single-layered and triple-layered models, are established to investigate the mechanical behavior of lamina...

    Jun Xu, Yibing Li in Impact Behavior and Pedestrian Protection … (2019)

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    Chapter

    Pedestrian Protection and Energy Dissipation

    The windshield plays an important role in accidents. When a pedestrian is hit by a car, impact usually occurs on the windshield, which accounts for approximately 50% of pedestrian deaths during accidents (Xu a...

    Jun Xu, Yibing Li in Impact Behavior and Pedestrian Protection … (2019)

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    Chapter

    Tire Models

    In this chapter a simple, yet significant, tire model is developed. It is basically a brush model, but with some noteworthy additions with respect to more common formulations. For instance, the model takes car...

    Massimo Guiggiani in The Science of Vehicle Dynamics (2018)

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