Results 81 to 90 of about 13,595 (306)
Fish Scales: A Multifunctional Biomaterial from Nature
Fish scales demonstrate nature's solution to impact protection through overlapping multilayered architecture. This biological design combines mineralized surfaces with collagen networks to achieve both flexibility and fracture resistance. The structural principles inspire advanced protective materials and biomedical implants, where damage tolerance ...
Liyao Dong, Xiaojie Sun, Xiguang Chen
wiley +1 more source
A bilinear form associated to contact sub-conformal manifolds
We define a bilinear form associated to a sub-Riemannian contact manifold. It transforms by scalar multiples under sub-conformal transformations and with further hypothesis it is naturally defined on certain torus bundles over the contact ...
Falbel, E., Veloso, J.M.
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ABSTRACT In February 2023, a comprehensive series of shaking table tests were conducted at the E‐Defense facility, the world's largest three‐dimensional earthquake simulator, on a full‐scale 10‐story steel moment‐resisting frame supplemented with BRBs.
Jun Fujiwara +9 more
wiley +1 more source
Lump Solutions to a (2+1)-Dimensional Fifth-Order KdV-Like Equation
A (2+1)-dimensional fifth-order KdV-like equation is introduced through a generalized bilinear equation with the prime number p=5. The new equation possesses the same bilinear form as the standard (2+1)-dimensional fifth-order KdV equation.
Sumayah Batwa, Wen-Xiu Ma
doaj +1 more source
ABSTRACT This paper illustrates opportunities for the use of simulated ground motions in seismic performance assessment – from seismic hazard, ground‐motion selection, response history analysis, and seismic demand hazard calculation. The illustration is through a comparative analysis with the conventional alternative of observed ground motions.
Vahid Loghman +2 more
wiley +1 more source
This paper aims to construct new mixed-type periodic and lump-type solutions via dependent variable transformation and Hirota’s bilinear form (general bilinear techniques).
Jian-Guo Liu +4 more
doaj +1 more source
From physical motivations and from geometrical interpretations of the Einstein equations, we give a justi cation of the non-triviality and non-degeneracy of Einstein bilinear form introduced in [1]
IURATO, Giuseppe
core
State maps from integration by parts [PDF]
We develop a new approach to the construction of state vectors for linear time-invariant systems described by higher-order differential equations. The basic observation is that the concatenation of two solutions of higher-order differential equations ...
Paolo Rapisarda +7 more
core +1 more source
Sensitivity of 3D Base‐Isolated Buildings to Individual Isolator Variability
ABSTRACT Variability in elastomeric isolators arises from differences in rubber formulation and curing, leading to noticeable changes in stiffness and damping among nominally identical bearings. While most previous studies have examined global isolator variability associated with environmental or aging effects, individual isolator variability has ...
Norouz Jahan, Niel C. Van Engelen
wiley +1 more source
Decomposition of bilinear forms as sums of bounded forms [PDF]
The problem of decomposition of bilinear forms which satisfy a certain condition has been studied by many authors by example in \cite{H08}: Let $H$ and $K$ be Hilbert spaces and let $A,C \in B(H),B,D\in B(K)$. Assume that $u:H\times Karrow \C$ a bilinear form satisfies \[ |u(x,y)|\leq\|Ax\|\ \|By\|+\|Cx\|\|Dy\| \] for all $ x\in H$ and $y\in K$. Then u
openaire +2 more sources

